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107311956 = 223173171239
BaseRepresentation
bin1100110010101…
…11001101010100
321110221000022220
412121113031110
5204432440311
614352022340
72442064563
oct631271524
9243830286
10107311956
1155636074
122bb319b0
13193039cb
1410375bda
15964b206
hex6657354

107311956 has 96 divisors (see below), whose sum is σ = 278691840. Its totient is φ = 31987200.

The previous prime is 107311927. The next prime is 107311969. The reversal of 107311956 is 659113701.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448885 + ... + 449123.

It is an arithmetic number, because the mean of its divisors is an integer number (2903040).

Almost surely, 2107311956 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 107311956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

107311956 is an abundant number, since it is smaller than the sum of its proper divisors (171379884).

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

107311956 is a wasteful number, since it uses less digits than its factorization.

107311956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 107311956 is about 10359.1484205991. The cubic root of 107311956 is about 475.2068624376.

The spelling of 107311956 in words is "one hundred seven million, three hundred eleven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 71 93 102 124 142 186 204 213 239 284 372 426 478 527 717 852 956 1054 1207 1434 1581 2108 2201 2414 2868 3162 3621 4063 4402 4828 6324 6603 7242 7409 8126 8804 12189 13206 14484 14818 16252 16969 22227 24378 26412 29636 33938 37417 44454 48756 50907 67876 74834 88908 101814 112251 125953 149668 203628 224502 251906 288473 377859 449004 503812 526039 576946 755718 865419 1052078 1153892 1511436 1578117 1730838 2104156 3156234 3461676 6312468 8942663 17885326 26827989 35770652 53655978 107311956