378

378 = 2 x 3³ x 7.

378 is the 27th triangular number. It is also a hexagonal number and the smallest Smith triangular number.

378 is the smallest three-digit number in which the sum of the digits is equal to the sum of the prime factors: 3 + 7 + 8 = 2 + 3 + 3 + 3 + 7 = 18.

378 is a cake number.

378 Holmia is an asteroid discovered in 1893.

Source: Number Gossip

130

130 = 2 x 5 x 13.

130 has two representations as a sum of two squares: 130 = 3² + 11² = 7² + 9².

130 is the smallest number with eight representations as a sum of four positive squares: 130 = 1² + 1² + 8² + 8² = 1² + 2² + 2² + 11² = 1² + 2² + 5² + 10² = 1² + 4² + 7² + 8² = 2² + 3² + 6² + 9² = 3² + 6² + 6² + 7² = 4² + 4² + 7² + 7² = 4² + 5² + 5² + 8².

130 is a cake number.

130 is the sum of the factorials of the first five terms of the Fibonacci sequence: 130 = 1! + 1! + 2! + 3! + 5!.

130 is the only number that is equal to the sum of the squares of its first four divisors: 130 = 1² + 2² + 5² + 10².

The Lockheed C-130 Hercules is a four-engine turboprop military transport aircraft.

Source: Number Gossip

93

93 = 3 x 31.

93 has the unique representation 93 = 2² + 5² + 8² as a sum of three squares.

93 is 1011101 in base 2 and 333 in base 5.

93 is a cake number. The nth cake number is the maximum number of pieces into which a (cylindrical) cake can be cut with n planar cuts. The first 10 cake numbers are 2, 4, 8, 15, 26, 42, 64, 93, 130, 176. There are 39 cake numbers below 10,000.

The chemical element niobium has one stable isotope, which has 93 neutrons.

Source: Number Gossip