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107694912 = 2631323319
BaseRepresentation
bin1100110101101…
…00101101000000
321111122110122110
412122310231000
5210032214122
614404135320
72445251223
oct632645500
9244573573
10107694912
1155877866
1230097540
1319409100
14104355ba
1596c490c
hex66b4b40

107694912 has 84 divisors (see below), whose sum is σ = 308640480. Its totient is φ = 33126912.

The previous prime is 107694877. The next prime is 107694931. The reversal of 107694912 is 219496701.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30789 + ... + 34107.

Almost surely, 2107694912 is an apocalyptic number.

107694912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107694912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154320240).

107694912 is an abundant number, since it is smaller than the sum of its proper divisors (200945568).

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

107694912 is a wasteful number, since it uses less digits than its factorization.

107694912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 107694912 is about 10377.6159111811. The cubic root of 107694912 is about 475.7714695186.

The spelling of 107694912 in words is "one hundred seven million, six hundred ninety-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 3319 4056 5408 6638 8112 9957 10816 13276 16224 19914 26552 32448 39828 43147 53104 79656 86294 106208 129441 159312 172588 212416 258882 318624 345176 517764 560911 637248 690352 1035528 1121822 1380704 1682733 2071056 2243644 2761408 3365466 4142112 4487288 6730932 8284224 8974576 13461864 17949152 26923728 35898304 53847456 107694912