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107002374 = 234121032
BaseRepresentation
bin1100110000010…
…11101000000110
321110100021122220
412120023220012
5204343033444
614341233210
72436335163
oct630135006
9243307586
10107002374
1155444516
122ba02806
1319225b1b
14102d506a
1595d9619
hex660ba06

107002374 has 36 divisors (see below), whose sum is σ = 221501988. Its totient is φ = 34459680.

The previous prime is 107002351. The next prime is 107002387. The reversal of 107002374 is 473200701.

It is a super-2 number, since 2×1070023742 = 22899016083271752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1038807 + ... + 1038909.

It is an arithmetic number, because the mean of its divisors is an integer number (6152833).

Almost surely, 2107002374 is an apocalyptic number.

107002374 is an abundant number, since it is smaller than the sum of its proper divisors (114499614).

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

107002374 is an equidigital number, since it uses as much as digits as its factorization.

107002374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 107002374 is about 10344.1951837734. The cubic root of 107002374 is about 474.7494508758.

Multiplying 107002374 by its sum of digits (24), we get a square (2568056976 = 506762).

Multiplying 107002374 by its product of nonzero digits (1176), we get a square (125834791824 = 3547322).

The spelling of 107002374 in words is "one hundred seven million, two thousand, three hundred seventy-four".

Divisors: 1 2 3 6 41 82 103 123 206 246 309 618 1681 3362 4223 5043 8446 10086 10609 12669 21218 25338 31827 63654 173143 346286 434969 519429 869938 1038858 1304907 2609814 17833729 35667458 53501187 107002374