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117581264 = 24313743149
BaseRepresentation
bin1110000001000…
…10010111010000
322012020202011122
413000202113100
5220100100024
615400101412
72625265343
oct700422720
9265222148
10117581264
116040a5a9
1233464868
131b48b018
141188a45a
15a4c8d5e
hex70225d0

117581264 has 80 divisors (see below), whose sum is σ = 248793600. Its totient is φ = 53706240.

The previous prime is 117581179. The next prime is 117581273. The reversal of 117581264 is 462185711.

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, 789062 + ... + 789210.

It is an arithmetic number, because the mean of its divisors is an integer number (3109920).

Almost surely, 2117581264 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 117581264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124396800).

117581264 is an abundant number, since it is smaller than the sum of its proper divisors (131212336).

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

117581264 is a wasteful number, since it uses less digits than its factorization.

117581264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its digits is 13440, while the sum is 35.

The square root of 117581264 is about 10843.4894752566. The cubic root of 117581264 is about 489.9059433517.

The spelling of 117581264 in words is "one hundred seventeen million, five hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 31 37 43 62 74 86 124 148 149 172 248 296 298 344 496 592 596 688 1147 1192 1333 1591 2294 2384 2666 3182 4588 4619 5332 5513 6364 6407 9176 9238 10664 11026 12728 12814 18352 18476 21328 22052 25456 25628 36952 44104 49321 51256 73904 88208 98642 102512 170903 197284 198617 237059 341806 394568 397234 474118 683612 789136 794468 948236 1367224 1588936 1896472 2734448 3177872 3792944 7348829 14697658 29395316 58790632 117581264