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57116136 = 23371131997
BaseRepresentation
bin1101100111100…
…0010111101000
310222110210121110
43121320113220
5104110204021
65400110320
71262323230
oct331702750
9128423543
1057116136
112a271220
12171653a0
13baaa43c
14782acc0
155033476
hex36785e8

57116136 has 128 divisors (see below), whose sum is σ = 183951360. Its totient is φ = 14342400.

The previous prime is 57116119. The next prime is 57116159. The reversal of 57116136 is 63161175.

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, 56790 + ... + 57786.

It is an arithmetic number, because the mean of its divisors is an integer number (1437120).

Almost surely, 257116136 is an apocalyptic number.

57116136 is a gapful number since it is divisible by the number (56) 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 57116136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91975680).

57116136 is an abundant number, since it is smaller than the sum of its proper divisors (126835224).

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

57116136 is a wasteful number, since it uses less digits than its factorization.

57116136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1051 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 57116136 is about 7557.5218160453. The cubic root of 57116136 is about 385.1113098068. Note that the first 3 decimals are identical.

The spelling of 57116136 in words is "fifty-seven million, one hundred sixteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 31 33 42 44 56 62 66 77 84 88 93 124 132 154 168 186 217 231 248 264 308 341 372 434 462 616 651 682 744 868 924 997 1023 1302 1364 1736 1848 1994 2046 2387 2604 2728 2991 3988 4092 4774 5208 5982 6979 7161 7976 8184 9548 10967 11964 13958 14322 19096 20937 21934 23928 27916 28644 30907 32901 41874 43868 55832 57288 61814 65802 76769 83748 87736 92721 123628 131604 153538 167496 185442 216349 230307 247256 263208 307076 339977 370884 432698 460614 614152 649047 679954 741768 865396 921228 1019931 1298094 1359908 1730792 1842456 2039862 2379839 2596188 2719816 4079724 4759678 5192376 7139517 8159448 9519356 14279034 19038712 28558068 57116136