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107094336 = 2631931947
BaseRepresentation
bin1100110001000…
…10000101000000
321110111221210220
412120202011000
5204404004321
614343223040
72440200246
oct630420500
9243457726
10107094336
11554a7618
122ba47a80
131925893b
141031a796
1596069c6
hex6622140

107094336 has 112 divisors (see below), whose sum is σ = 308213760. Its totient is φ = 32693760.

The previous prime is 107094313. The next prime is 107094347. The reversal of 107094336 is 633490701.

It is a super-2 number, since 2×1070943362 = 22938393606561792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107094297 and 107094306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112615 + ... + 113561.

Almost surely, 2107094336 is an apocalyptic number.

107094336 is a gapful number since it is divisible by the number (16) 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 107094336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154106880).

107094336 is an abundant number, since it is smaller than the sum of its proper divisors (201119424).

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

107094336 is a wasteful number, since it uses less digits than its factorization.

107094336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 107094336 is about 10348.6393308492. The cubic root of 107094336 is about 474.8854179762.

The spelling of 107094336 in words is "one hundred seven million, ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 152 186 192 228 248 304 372 456 496 589 608 744 912 947 992 1178 1216 1488 1767 1824 1894 1984 2356 2841 2976 3534 3648 3788 4712 5682 5952 7068 7576 9424 11364 14136 15152 17993 18848 22728 28272 29357 30304 35986 37696 45456 53979 56544 58714 60608 71972 88071 90912 107958 113088 117428 143944 176142 181824 215916 234856 287888 352284 431832 469712 557783 575776 704568 863664 939424 1115566 1151552 1409136 1673349 1727328 1878848 2231132 2818272 3346698 3454656 4462264 5636544 6693396 8924528 13386792 17849056 26773584 35698112 53547168 107094336