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107656692 = 2231113431459
BaseRepresentation
bin1100110101010…
…11010111110100
321111120112012220
412122223113310
5210030003232
614403242340
72445031623
oct632532764
9244515186
10107656692
1155851080
12300793b0
13193c48b0
14104256ba
1596b842c
hex66ab5f4

107656692 has 96 divisors (see below), whose sum is σ = 302184960. Its totient is φ = 29393280.

The previous prime is 107656691. The next prime is 107656723. The reversal of 107656692 is 296656701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107656691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73059 + ... + 74517.

It is an arithmetic number, because the mean of its divisors is an integer number (3147760).

Almost surely, 2107656692 is an apocalyptic number.

107656692 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 107656692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151092480).

107656692 is an abundant number, since it is smaller than the sum of its proper divisors (194528268).

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

107656692 is a wasteful number, since it uses less digits than its factorization.

107656692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 107656692 is about 10375.7742843607. The cubic root of 107656692 is about 475.7151804555.

The spelling of 107656692 in words is "one hundred seven million, six hundred fifty-six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 43 44 52 66 78 86 129 132 143 156 172 258 286 429 473 516 559 572 858 946 1118 1419 1459 1677 1716 1892 2236 2838 2918 3354 4377 5676 5836 6149 6708 8754 12298 16049 17508 18447 18967 24596 32098 36894 37934 48147 56901 62737 64196 73788 75868 96294 113802 125474 188211 192588 208637 227604 250948 376422 417274 625911 690107 752844 815581 834548 1251822 1380214 1631162 2070321 2446743 2503644 2760428 3262324 4140642 4893486 8281284 8971391 9786972 17942782 26914173 35885564 53828346 107656692