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117015624 = 233311172897
BaseRepresentation
bin1101111100110…
…00010001001000
322011012000021000
412332120101020
5214423444444
615340015000
72620421265
oct676302110
9264160230
10117015624
1160063630
1233231460
131b32071b
141178026c
15a416469
hex6f98448

117015624 has 128 divisors (see below), whose sum is σ = 375580800. Its totient is φ = 33361920.

The previous prime is 117015593. The next prime is 117015631. The reversal of 117015624 is 426510711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 38944 + ... + 41840.

It is an arithmetic number, because the mean of its divisors is an integer number (2934225).

Almost surely, 2117015624 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 117015624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187790400).

117015624 is an abundant number, since it is smaller than the sum of its proper divisors (258565176).

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

117015624 is a wasteful number, since it uses less digits than its factorization.

117015624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 117015624 is about 10817.3760219380. The cubic root of 117015624 is about 489.1190947833.

It can be divided in two parts, 1 and 17015624, that added together give a square (17015625 = 41252).

The spelling of 117015624 in words is "one hundred seventeen million, fifteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 374 396 408 459 561 594 612 748 792 918 1122 1188 1224 1496 1683 1836 2244 2376 2897 3366 3672 4488 5049 5794 6732 8691 10098 11588 13464 17382 20196 23176 26073 31867 34764 40392 49249 52146 63734 69528 78219 95601 98498 104292 127468 147747 156438 191202 196996 208584 254936 286803 295494 312876 382404 393992 443241 541739 573606 590988 625752 764808 860409 886482 1083478 1147212 1181976 1329723 1625217 1720818 1772964 2166956 2294424 2659446 3250434 3441636 3545928 4333912 4875651 5318892 6500868 6883272 9751302 10637784 13001736 14626953 19502604 29253906 39005208 58507812 117015624