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118495272 = 23374347349
BaseRepresentation
bin1110001000000…
…01100000101000
322020222011221210
413010001200220
5220313322042
615431433120
72636123160
oct704014050
9266864853
10118495272
1160984285
12338257a0
131b71b05c
1411a475a0
15a609a9c
hex7101828

118495272 has 128 divisors (see below), whose sum is σ = 354816000. Its totient is φ = 32272128.

The previous prime is 118495271. The next prime is 118495277. The reversal of 118495272 is 272594811.

It is a super-2 number, since 2×1184952722 = 28082258972707968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 118495272.

It is not an unprimeable number, because it can be changed into a prime (118495271) 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, 339354 + ... + 339702.

It is an arithmetic number, because the mean of its divisors is an integer number (2772000).

Almost surely, 2118495272 is an apocalyptic number.

118495272 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 118495272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177408000).

118495272 is an abundant number, since it is smaller than the sum of its proper divisors (236320728).

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

118495272 is a wasteful number, since it uses less digits than its factorization.

118495272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 118495272 is about 10885.5533621401. The cubic root of 118495272 is about 491.1720823788.

The spelling of 118495272 in words is "one hundred eighteen million, four hundred ninety-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 47 56 84 86 94 129 141 168 172 188 258 282 301 329 344 349 376 516 564 602 658 698 903 987 1032 1047 1128 1204 1316 1396 1806 1974 2021 2094 2408 2443 2632 2792 3612 3948 4042 4188 4886 6063 7224 7329 7896 8084 8376 9772 12126 14147 14658 15007 16168 16403 19544 24252 28294 29316 30014 32806 42441 45021 48504 49209 56588 58632 60028 65612 84882 90042 98418 105049 113176 114821 120056 131224 169764 180084 196836 210098 229642 315147 339528 344463 360168 393672 420196 459284 630294 688926 705329 840392 918568 1260588 1377852 1410658 2115987 2521176 2755704 2821316 4231974 4937303 5642632 8463948 9874606 14811909 16927896 19749212 29623818 39498424 59247636 118495272