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107168952 = 233111723879
BaseRepresentation
bin1100110001101…
…00010010111000
321110122202011110
412120310102320
5204413401302
614345000320
72440630632
oct630642270
9243582143
10107168952
1155548690
122ba830a0
13192838a7
1410339a52
15961db6c
hex66344b8

107168952 has 64 divisors (see below), whose sum is σ = 309484800. Its totient is φ = 30563840.

The previous prime is 107168939. The next prime is 107168989. The reversal of 107168952 is 259861701.

It is a super-2 number, since 2×1071689522 = 22970368545556608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107168952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7452 + ... + 16427.

It is an arithmetic number, because the mean of its divisors is an integer number (4835700).

Almost surely, 2107168952 is an apocalyptic number.

107168952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107168952 is an abundant number, since it is smaller than the sum of its proper divisors (202315848).

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

107168952 is a wasteful number, since it uses less digits than its factorization.

107168952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23916 (or 23912 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 107168952 is about 10352.2438147486. The cubic root of 107168952 is about 474.9956815859.

The spelling of 107168952 in words is "one hundred seven million, one hundred sixty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 23879 47758 71637 95516 143274 191032 262669 286548 405943 525338 573096 788007 811886 1050676 1217829 1576014 1623772 2101352 2435658 3152028 3247544 4465373 4871316 6304056 8930746 9742632 13396119 17861492 26792238 35722984 53584476 107168952