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116892624 = 24323113937
BaseRepresentation
bin1101111011110…
…10001111010000
322010221202112110
412331322033100
5214411030444
615333225320
72616366552
oct675721720
9263852473
10116892624
115aa8a182
1233192240
131b2a9744
141174b4d2
15a3decb9
hex6f7a3d0

116892624 has 80 divisors (see below), whose sum is σ = 318229632. Its totient is φ = 36900864.

The previous prime is 116892593. The next prime is 116892641. The reversal of 116892624 is 426298611.

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, 124284 + ... + 125220.

Almost surely, 2116892624 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 116892624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159114816).

116892624 is an abundant number, since it is smaller than the sum of its proper divisors (201337008).

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

116892624 is a wasteful number, since it uses less digits than its factorization.

116892624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1078 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 116892624 is about 10811.6892297180. The cubic root of 116892624 is about 488.9476568778.

The spelling of 116892624 in words is "one hundred sixteen million, eight hundred ninety-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 113 138 184 226 276 339 368 452 552 678 904 937 1104 1356 1808 1874 2599 2712 2811 3748 5198 5424 5622 7496 7797 10396 11244 14992 15594 20792 21551 22488 31188 41584 43102 44976 62376 64653 86204 105881 124752 129306 172408 211762 258612 317643 344816 423524 517224 635286 847048 1034448 1270572 1694096 2435263 2541144 4870526 5082288 7305789 9741052 14611578 19482104 29223156 38964208 58446312 116892624