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116395056 = 243617587
BaseRepresentation
bin1101111000000…
…00110000110000
322010000111000000
412330000300300
5214244120211
615314430000
72612225121
oct674006060
9263014000
10116395056
115a77a368
1232b92300
131b16411b
141165c048
15a342656
hex6f00c30

116395056 has 140 divisors (see below), whose sum is σ = 358617672. Its totient is φ = 36453888.

The previous prime is 116395051. The next prime is 116395061. The reversal of 116395056 is 650593611.

116395056 is a `hidden beast` number, since 11 + 639 + 5 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (116395051) and next prime (116395061).

It is a super-2 number, since 2×1163950562 = 27095618122486272, 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 116395056.

It is not an unprimeable number, because it can be changed into a prime (116395051) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 197995 + ... + 198581.

Almost surely, 2116395056 is an apocalyptic number.

116395056 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 116395056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179308836).

116395056 is an abundant number, since it is smaller than the sum of its proper divisors (242222616).

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

116395056 is an equidigital number, since it uses as much as digits as its factorization.

116395056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 116395056 is about 10788.6540402406. The cubic root of 116395056 is about 488.2529146761.

The spelling of 116395056 in words is "one hundred sixteen million, three hundred ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 587 612 648 729 816 918 972 1174 1224 1296 1377 1458 1761 1836 1944 2348 2448 2754 2916 3522 3672 3888 4131 4696 5283 5508 5832 7044 7344 8262 9392 9979 10566 11016 11664 12393 14088 15849 16524 19958 21132 22032 24786 28176 29937 31698 33048 39916 42264 47547 49572 59874 63396 66096 79832 84528 89811 95094 99144 119748 126792 142641 159664 179622 190188 198288 239496 253584 269433 285282 359244 380376 427923 478992 538866 570564 718488 760752 808299 855846 1077732 1141128 1436976 1616598 1711692 2155464 2282256 2424897 3233196 3423384 4310928 4849794 6466392 6846768 7274691 9699588 12932784 14549382 19399176 29098764 38798352 58197528 116395056