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107701956 = 2232191011559
BaseRepresentation
bin1100110101101…
…10011011000100
321111122211022100
412122312123010
5210032430311
614404232100
72445310605
oct632663304
9244584270
10107701956
115588208a
123009b630
131940c38b
1410437dac
1596c6a56
hex66b66c4

107701956 has 72 divisors (see below), whose sum is σ = 289598400. Its totient is φ = 33652800.

The previous prime is 107701949. The next prime is 107701999. The reversal of 107701956 is 659107701.

It is a super-2 number, since 2×1077019562 = 23199422652451872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107701956.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68305 + ... + 69863.

It is an arithmetic number, because the mean of its divisors is an integer number (4022200).

Almost surely, 2107701956 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 107701956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144799200).

107701956 is an abundant number, since it is smaller than the sum of its proper divisors (181896444).

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

107701956 is a wasteful number, since it uses less digits than its factorization.

107701956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 107701956 is about 10377.9552899403. The cubic root of 107701956 is about 475.7818422190.

The spelling of 107701956 in words is "one hundred seven million, seven hundred one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 101 114 171 202 228 303 342 404 606 684 909 1212 1559 1818 1919 3118 3636 3838 4677 5757 6236 7676 9354 11514 14031 17271 18708 23028 28062 29621 34542 56124 59242 69084 88863 118484 157459 177726 266589 314918 355452 472377 533178 629836 944754 1066356 1417131 1889508 2834262 2991721 5668524 5983442 8975163 11966884 17950326 26925489 35900652 53850978 107701956