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116075592 = 23341741257
BaseRepresentation
bin1101110101100…
…10110001001000
322002102020210000
412322302301020
5214203404332
615303523000
72606424543
oct672626110
9262366700
10116075592
115a581346
1232a59460
131b0818a9
14115b785a
15a2ccb7c
hex6eb2c48

116075592 has 160 divisors (see below), whose sum is σ = 354012120. Its totient is φ = 35389440.

The previous prime is 116075567. The next prime is 116075611. The reversal of 116075592 is 295570611.

116075592 is a `hidden beast` number, since 1 + 1 + 60 + 7 + 5 + 592 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111640356 + 4435236 = 10566^2 + 2106^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 451528 + ... + 451784.

Almost surely, 2116075592 is an apocalyptic number.

116075592 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 116075592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177006060).

116075592 is an abundant number, since it is smaller than the sum of its proper divisors (237936528).

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

116075592 is a wasteful number, since it uses less digits than its factorization.

116075592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 116075592 is about 10773.8383132475. The cubic root of 116075592 is about 487.8058104907.

The spelling of 116075592 in words is "one hundred sixteen million, seventy-five thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 41 51 54 68 72 81 82 102 108 123 136 153 162 164 204 216 246 257 306 324 328 369 408 459 492 514 612 648 697 738 771 918 984 1028 1107 1224 1377 1394 1476 1542 1836 2056 2091 2214 2313 2754 2788 2952 3084 3321 3672 4182 4369 4428 4626 5508 5576 6168 6273 6642 6939 8364 8738 8856 9252 10537 11016 12546 13107 13284 13878 16728 17476 18504 18819 20817 21074 25092 26214 26568 27756 31611 34952 37638 39321 41634 42148 50184 52428 55512 56457 63222 75276 78642 83268 84296 94833 104856 112914 117963 126444 150552 157284 166536 179129 189666 225828 235926 252888 284499 314568 353889 358258 379332 451656 471852 537387 568998 707778 716516 758664 853497 943704 1074774 1137996 1415556 1433032 1612161 1706994 2149548 2275992 2831112 3224322 3413988 4299096 4836483 6448644 6827976 9672966 12897288 14509449 19345932 29018898 38691864 58037796 116075592