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107696304 = 2434233613
BaseRepresentation
bin1100110101101…
…01000010110000
321111122112120000
412122311002300
5210032240204
614404150000
72445255252
oct632650260
9244575500
10107696304
1155878911
1230098300
1319409931
1410435cd2
1596c5039
hex66b50b0

107696304 has 100 divisors (see below), whose sum is σ = 325346736. Its totient is φ = 34328448.

The previous prime is 107696297. The next prime is 107696311. The reversal of 107696304 is 403696701.

107696304 is a `hidden beast` number, since 10 + 7 + 6 + 9 + 630 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (107696297) and next prime (107696311).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28002 + ... + 31614.

Almost surely, 2107696304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107696304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162673368).

107696304 is an abundant number, since it is smaller than the sum of its proper divisors (217650432).

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

107696304 is a wasteful number, since it uses less digits than its factorization.

107696304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 107696304 is about 10377.6829783917. The cubic root of 107696304 is about 475.7735193556.

The spelling of 107696304 in words is "one hundred seven million, six hundred ninety-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2484 3312 3613 3726 4968 7226 7452 9936 10839 14452 14904 21678 28904 29808 32517 43356 57808 65034 83099 86712 97551 130068 166198 173424 195102 249297 260136 292653 332396 390204 498594 520272 585306 664792 747891 780408 997188 1170612 1329584 1495782 1560816 1994376 2243673 2341224 2991564 3988752 4487346 4682448 5983128 6731019 8974692 11966256 13462038 17949384 26924076 35898768 53848152 107696304