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107113632 = 2531115767
BaseRepresentation
bin1100110001001…
…10110010100000
321110112221021120
412120212302200
5204410114012
614343452240
72440310433
oct630466240
9243487246
10107113632
115551006a
122ba57080
1319264662
141032381a
15960c58c
hex6626ca0

107113632 has 24 divisors (see below), whose sum is σ = 281173536. Its totient is φ = 35704512.

The previous prime is 107113619. The next prime is 107113663. The reversal of 107113632 is 236311701.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1071136322 = 22946660320462848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 3 ways as a sum of consecutive naturals, for example, 557788 + ... + 557979.

It is an arithmetic number, because the mean of its divisors is an integer number (11715564).

Almost surely, 2107113632 is an apocalyptic number.

107113632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107113632 is an abundant number, since it is smaller than the sum of its proper divisors (174059904).

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

107113632 is a wasteful number, since it uses less digits than its factorization.

107113632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115780 (or 1115772 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 107113632 is about 10349.5715853363. The cubic root of 107113632 is about 474.9139375010.

The spelling of 107113632 in words is "one hundred seven million, one hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1115767 2231534 3347301 4463068 6694602 8926136 13389204 17852272 26778408 35704544 53556816 107113632