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116262864 = 2435171759
BaseRepresentation
bin1101110111000…
…00011111010000
322002202202200000
412323200133100
5214230402424
615311530000
72611134534
oct673403720
9262682600
10116262864
115a69a013
1232b29900
131b118bc3
1411625bc4
15a3183c9
hex6ee07d0

116262864 has 120 divisors (see below), whose sum is σ = 357477120. Its totient is φ = 36453888.

The previous prime is 116262859. The next prime is 116262877. The reversal of 116262864 is 468262611.

116262864 is a `hidden beast` number, since 1 + 1 + 626 + 28 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65217 + ... + 66975.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2116262864 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 116262864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

116262864 is an abundant number, since it is smaller than the sum of its proper divisors (241214256).

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

116262864 is a wasteful number, since it uses less digits than its factorization.

116262864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1781 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 116262864 is about 10782.5258636370. The cubic root of 116262864 is about 488.0680053932.

The spelling of 116262864 in words is "one hundred sixteen million, two hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 816 918 972 1224 1296 1377 1759 1836 1944 2448 2754 3518 3672 3888 4131 5277 5508 7036 7344 8262 10554 11016 14072 15831 16524 21108 22032 28144 29903 31662 33048 42216 47493 59806 63324 66096 84432 89709 94986 119612 126648 142479 179418 189972 239224 253296 269127 284958 358836 379944 427437 478448 538254 569916 717672 759888 807381 854874 1076508 1139832 1435344 1614762 1709748 2153016 2279664 2422143 3229524 3419496 4306032 4844286 6459048 6838992 7266429 9688572 12918096 14532858 19377144 29065716 38754288 58131432 116262864