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131075344 = 2423596037
BaseRepresentation
bin1111101000000…
…00110100010000
3100010122022120101
413310000310100
5232023402334
621001222144
73151056601
oct764006420
9303568511
10131075344
1167a96934
1237a91954
132120409a
141359dda8
15b792214
hex7d00d10

131075344 has 40 divisors (see below), whose sum is σ = 269536320. Its totient is φ = 61615488.

The previous prime is 131075333. The next prime is 131075363. The reversal of 131075344 is 443570131.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18694 + ... + 24730.

It is an arithmetic number, because the mean of its divisors is an integer number (6738408).

Almost surely, 2131075344 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 131075344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134768160).

131075344 is an abundant number, since it is smaller than the sum of its proper divisors (138460976).

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

131075344 is a wasteful number, since it uses less digits than its factorization.

131075344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6127 (or 6121 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 131075344 is about 11448.8140870572. The cubic root of 131075344 is about 507.9726564736.

The spelling of 131075344 in words is "one hundred thirty-one million, seventy-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 46 59 92 118 184 236 368 472 944 1357 2714 5428 6037 10856 12074 21712 24148 48296 96592 138851 277702 356183 555404 712366 1110808 1424732 2221616 2849464 5698928 8192209 16384418 32768836 65537672 131075344