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107107392 = 263779693
BaseRepresentation
bin1100110001001…
…01010001000000
321110112121201110
412120211101000
5204404414032
614343403320
72440253310
oct630452100
9243477643
10107107392
1155506407
122ba53540
1319261872
1410321440
15960a7cc
hex6625440

107107392 has 56 divisors (see below), whose sum is σ = 323876416. Its totient is φ = 30601728.

The previous prime is 107107381. The next prime is 107107397. The reversal of 107107392 is 293701701.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1071073922 = 22943986842083328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107107397) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38503 + ... + 41190.

Almost surely, 2107107392 is an apocalyptic number.

107107392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107107392 is an abundant number, since it is smaller than the sum of its proper divisors (216769024).

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

107107392 is an equidigital number, since it uses as much as digits as its factorization.

107107392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79715 (or 79705 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 107107392 is about 10349.2701191920. The cubic root of 107107392 is about 474.9047151439.

The spelling of 107107392 in words is "one hundred seven million, one hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 79693 159386 239079 318772 478158 557851 637544 956316 1115702 1275088 1673553 1912632 2231404 2550176 3347106 3825264 4462808 5100352 6694212 7650528 8925616 13388424 15301056 17851232 26776848 35702464 53553696 107107392