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131650656 = 2537917359
BaseRepresentation
bin1111101100011…
…01010001100000
3100011201112202020
413312031101200
5232200310111
621021421440
73156004104
oct766152140
9304645666
10131650656
116834a0a5
123810a880
1321375bc7
14136ad904
15b857906
hex7d8d460

131650656 has 48 divisors (see below), whose sum is σ = 349977600. Its totient is φ = 43325568.

The previous prime is 131650637. The next prime is 131650657. The reversal of 131650656 is 656056131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131650657) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1096 + ... + 16263.

It is an arithmetic number, because the mean of its divisors is an integer number (7291200).

Almost surely, 2131650656 is an apocalyptic number.

131650656 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 131650656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

131650656 is an abundant number, since it is smaller than the sum of its proper divisors (218326944).

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

131650656 is a wasteful number, since it uses less digits than its factorization.

131650656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17451 (or 17443 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 131650656 is about 11473.9119745621. The cubic root of 131650656 is about 508.7147646073.

The spelling of 131650656 in words is "one hundred thirty-one million, six hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 17359 34718 52077 69436 104154 138872 208308 277744 416616 555488 833232 1371361 1666464 2742722 4114083 5485444 8228166 10970888 16456332 21941776 32912664 43883552 65825328 131650656