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107159712 = 25311101477
BaseRepresentation
bin1100110001100…
…10000010100000
321110122021111020
412120302002200
5204413102322
614344445440
72440561662
oct630620240
9243567436
10107159712
1155541750
122ba79880
131927c61a
1410336532
15961b05c
hex66320a0

107159712 has 48 divisors (see below), whose sum is σ = 306869472. Its totient is φ = 32472320.

The previous prime is 107159707. The next prime is 107159719. The reversal of 107159712 is 217951701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1071597122 = 22966407751845888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (107159719) 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, 49683 + ... + 51794.

It is an arithmetic number, because the mean of its divisors is an integer number (6393114).

Almost surely, 2107159712 is an apocalyptic number.

107159712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107159712 is an abundant number, since it is smaller than the sum of its proper divisors (199709760).

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

107159712 is a wasteful number, since it uses less digits than its factorization.

107159712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101501 (or 101493 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 33.

The square root of 107159712 is about 10351.7975250678. The cubic root of 107159712 is about 474.9820299758.

The spelling of 107159712 in words is "one hundred seven million, one hundred fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 101477 202954 304431 405908 608862 811816 1116247 1217724 1623632 2232494 2435448 3247264 3348741 4464988 4870896 6697482 8929976 9741792 13394964 17859952 26789928 35719904 53579856 107159712