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131525004 = 223132513359
BaseRepresentation
bin1111101011011…
…10100110001100
3100011111011101110
413311232212030
5232132300004
621015012020
73154641552
oct765564614
9304434343
10131525004
1168273756
123806a010
1321330960
1413679bd2
15b830589
hex7d6e98c

131525004 has 48 divisors (see below), whose sum is σ = 331914240. Its totient is φ = 40296000.

The previous prime is 131524979. The next prime is 131525041. The reversal of 131525004 is 400525131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37477 + ... + 40835.

It is an arithmetic number, because the mean of its divisors is an integer number (6914880).

Almost surely, 2131525004 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 131525004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165957120).

131525004 is an abundant number, since it is smaller than the sum of its proper divisors (200389236).

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

131525004 is a wasteful number, since it uses less digits than its factorization.

131525004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 131525004 is about 11468.4351155683. The cubic root of 131525004 is about 508.5528680231.

The spelling of 131525004 in words is "one hundred thirty-one million, five hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 251 502 753 1004 1506 3012 3263 3359 6526 6718 9789 10077 13052 13436 19578 20154 39156 40308 43667 87334 131001 174668 262002 524004 843109 1686218 2529327 3372436 5058654 10117308 10960417 21920834 32881251 43841668 65762502 131525004