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116516232 = 23347171511
BaseRepresentation
bin1101111000111…
…10010110001000
322010020122020000
412330132112020
5214312004412
615321203000
72613241320
oct674362610
9263218200
10116516232
115a852408
1233030460
131b1a7321
1411690280
15a3684dc
hex6f1e588

116516232 has 160 divisors (see below), whose sum is σ = 395176320. Its totient is φ = 31311360.

The previous prime is 116516201. The next prime is 116516237. The reversal of 116516232 is 232615611.

116516232 is a `hidden beast` number, since 1 + 1 + 651 + 6 + 2 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 116516196 and 116516205.

It is not an unprimeable number, because it can be changed into a prime (116516237) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76357 + ... + 77867.

It is an arithmetic number, because the mean of its divisors is an integer number (2469852).

Almost surely, 2116516232 is an apocalyptic number.

116516232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116516232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197588160).

116516232 is an abundant number, since it is smaller than the sum of its proper divisors (278660088).

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

116516232 is a wasteful number, since it uses less digits than its factorization.

116516232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1540 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 116516232 is about 10794.2684791513. The cubic root of 116516232 is about 488.4222919031.

The spelling of 116516232 in words is "one hundred sixteen million, five hundred sixteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 81 84 102 108 119 126 136 153 162 168 189 204 216 238 252 306 324 357 378 408 459 476 504 567 612 648 714 756 918 952 1071 1134 1224 1377 1428 1511 1512 1836 2142 2268 2754 2856 3022 3213 3672 4284 4533 4536 5508 6044 6426 8568 9066 9639 10577 11016 12088 12852 13599 18132 19278 21154 25687 25704 27198 31731 36264 38556 40797 42308 51374 54396 63462 77061 77112 81594 84616 95193 102748 108792 122391 126924 154122 163188 179809 190386 205496 231183 244782 253848 285579 308244 326376 359618 380772 462366 489564 539427 571158 616488 693549 719236 761544 856737 924732 979128 1078854 1142316 1387098 1438472 1618281 1713474 1849464 2080647 2157708 2284632 2774196 3236562 3426948 4161294 4315416 4854843 5548392 6473124 6853896 8322588 9709686 12946248 14564529 16645176 19419372 29129058 38838744 58258116 116516232