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131526018 = 23413192173
BaseRepresentation
bin1111101011011…
…10110110000010
3100011111012210000
413311232312002
5232132313033
621015020430
73154644531
oct765566602
9304435700
10131526018
1168274498
123806a716
1321331260
141367a318
15b830a13
hex7d6ed82

131526018 has 120 divisors (see below), whose sum is σ = 336906108. Its totient is φ = 38117952.

The previous prime is 131526001. The next prime is 131526023. The reversal of 131526018 is 810625131.

131526018 is a `hidden beast` number, since 1 + 3 + 1 + 52 + 601 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131262849 + 263169 = 11457^2 + 513^2 .

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 = 131525982 and 131526000.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 760180 + ... + 760352.

Almost surely, 2131526018 is an apocalyptic number.

131526018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131526018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168453054).

131526018 is an abundant number, since it is smaller than the sum of its proper divisors (205380090).

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

131526018 is a wasteful number, since it uses less digits than its factorization.

131526018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 131526018 is about 11468.4793237813. The cubic root of 131526018 is about 508.5541749261.

The spelling of 131526018 in words is "one hundred thirty-one million, five hundred twenty-six thousand, eighteen".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 171 173 234 247 342 346 351 361 494 513 519 702 722 741 1026 1038 1053 1083 1482 1539 1557 2106 2166 2223 2249 3078 3114 3249 3287 4446 4498 4671 4693 6498 6574 6669 6747 9342 9386 9747 9861 13338 13494 14013 14079 19494 19722 20007 20241 28026 28158 29241 29583 40014 40482 42237 42731 58482 59166 60723 62453 84474 85462 88749 121446 124906 126711 128193 177498 182169 187359 253422 256386 266247 364338 374718 380133 384579 532494 562077 760266 769158 811889 1124154 1153737 1623778 1686231 2307474 2435667 3372462 3461211 4871334 5058693 6922422 7307001 10117386 14614002 21921003 43842006 65763009 131526018