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131526656 = 212163197
BaseRepresentation
bin1111101011011…
…11000000000000
3100011111020122122
413311233000000
5232132323111
621015023412
73154646432
oct765570000
9304436578
10131526656
1168274a18
123806ab68
1321331631
141367a652
15b830cdb
hex7d6f000

131526656 has 52 divisors (see below), whose sum is σ = 265978152. Its totient is φ = 65028096.

The previous prime is 131526649. The next prime is 131526667. The reversal of 131526656 is 656625131.

It is a super-2 number, since 2×1315266562 = 34598522477084672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 667550 + ... + 667746.

Almost surely, 2131526656 is an apocalyptic number.

131526656 is a gapful number since it is divisible by the number (16) 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 131526656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132989076).

131526656 is an abundant number, since it is smaller than the sum of its proper divisors (134451496).

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

131526656 is an equidigital number, since it uses as much as digits as its factorization.

131526656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 362 counting only the distinct ones).

The product of its digits is 32400, while the sum is 35.

The square root of 131526656 is about 11468.5071391180. The cubic root of 131526656 is about 508.5549972147.

The spelling of 131526656 in words is "one hundred thirty-one million, five hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 163 197 256 326 394 512 652 788 1024 1304 1576 2048 2608 3152 4096 5216 6304 10432 12608 20864 25216 32111 41728 50432 64222 83456 100864 128444 166912 201728 256888 333824 403456 513776 667648 806912 1027552 2055104 4110208 8220416 16440832 32881664 65763328 131526656