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107670112 = 25111719947
BaseRepresentation
bin1100110101011…
…10101001100000
321111121012121221
412122232221200
5210030420422
614403424424
72445116014
oct632565140
9244535557
10107670112
1155860170
1230085114
13193caa34
141042a544
1596bc3c7
hex66aea60

107670112 has 96 divisors (see below), whose sum is σ = 258007680. Its totient is φ = 43591680.

The previous prime is 107670089. The next prime is 107670133. The reversal of 107670112 is 211076701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113223 + ... + 114169.

It is an arithmetic number, because the mean of its divisors is an integer number (2687580).

Almost surely, 2107670112 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 107670112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129003840).

107670112 is an abundant number, since it is smaller than the sum of its proper divisors (150337568).

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

107670112 is a wasteful number, since it uses less digits than its factorization.

107670112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 107670112 is about 10376.4209629332. The cubic root of 107670112 is about 475.7349464739.

The spelling of 107670112 in words is "one hundred seven million, six hundred seventy thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 19 22 32 34 38 44 68 76 88 136 152 176 187 209 272 304 323 352 374 418 544 608 646 748 836 947 1292 1496 1672 1894 2584 2992 3344 3553 3788 5168 5984 6688 7106 7576 10336 10417 14212 15152 16099 17993 20834 28424 30304 32198 35986 41668 56848 64396 71972 83336 113696 128792 143944 166672 177089 197923 257584 287888 305881 333344 354178 395846 515168 575776 611762 708356 791692 1223524 1416712 1583384 2447048 2833424 3166768 3364691 4894096 5666848 6333536 6729382 9788192 13458764 26917528 53835056 107670112