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107002314 = 2325944573
BaseRepresentation
bin1100110000010…
…11100111001010
321110100021120200
412120023213022
5204343033224
614341233030
72436335046
oct630134712
9243307520
10107002314
1155444471
122ba02776
1319225aa3
14102d5026
1595d95c9
hex660b9ca

107002314 has 12 divisors (see below), whose sum is σ = 231838386. Its totient is φ = 35667432.

The previous prime is 107002307. The next prime is 107002327. The reversal of 107002314 is 413200701.

It can be written as a sum of positive squares in only one way, i.e., 54686025 + 52316289 = 7395^2 + 7233^2 .

It is a super-2 number, since 2×1070023142 = 22898990402709192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5944573 = 107002314 / (1 + 0 + 7 + 0 + 0 + 2 + 3 + 1 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2972269 + ... + 2972304.

Almost surely, 2107002314 is an apocalyptic number.

107002314 is an abundant number, since it is smaller than the sum of its proper divisors (124836072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107002314 is a wasteful number, since it uses less digits than its factorization.

107002314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944581 (or 5944578 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 107002314 is about 10344.1922835957. The cubic root of 107002314 is about 474.7493621395.

The spelling of 107002314 in words is "one hundred seven million, two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 5944573 11889146 17833719 35667438 53501157 107002314