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116997264 = 24331789179
BaseRepresentation
bin1101111100100…
…11110010010000
322011011002002000
412332103302100
5214422403024
615335354000
72620313616
oct676236220
9264132060
10116997264
116005085a
1233222900
131b315267
14117776b6
15a410cc9
hex6f93c90

116997264 has 160 divisors (see below), whose sum is σ = 361584000. Its totient is φ = 36089856.

The previous prime is 116997263. The next prime is 116997311. The reversal of 116997264 is 462799611.

It is not an unprimeable number, because it can be changed into a prime (116997263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 653527 + ... + 653705.

It is an arithmetic number, because the mean of its divisors is an integer number (2259900).

Almost surely, 2116997264 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 116997264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180792000).

116997264 is an abundant number, since it is smaller than the sum of its proper divisors (244586736).

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

116997264 is a wasteful number, since it uses less digits than its factorization.

116997264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 290 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 116997264 is about 10816.5273540078. The cubic root of 116997264 is about 489.0935121702.

The spelling of 116997264 in words is "one hundred sixteen million, nine hundred ninety-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 89 102 108 136 144 153 178 179 204 216 267 272 306 356 358 408 432 459 534 537 612 712 716 801 816 918 1068 1074 1224 1424 1432 1513 1602 1611 1836 2136 2148 2403 2448 2864 3026 3043 3204 3222 3672 4272 4296 4539 4806 4833 6052 6086 6408 6444 7344 8592 9078 9129 9612 9666 12104 12172 12816 12888 13617 15931 18156 18258 19224 19332 24208 24344 25776 27234 27387 31862 36312 36516 38448 38664 40851 47793 48688 54468 54774 63724 72624 73032 77328 81702 82161 95586 108936 109548 127448 143379 146064 163404 164322 191172 217872 219096 254896 270827 286758 326808 328644 382344 430137 438192 541654 573516 653616 657288 764688 812481 860274 1083308 1147032 1314576 1624962 1720548 2166616 2294064 2437443 3249924 3441096 4333232 4874886 6499848 6882192 7312329 9749772 12999696 14624658 19499544 29249316 38999088 58498632 116997264