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131570176 = 29313821
BaseRepresentation
bin1111101011110…
…01101000000000
3100011120110100111
413311321220000
5232140221201
621020001104
73155220343
oct765715000
9304513314
10131570176
11682a4691
1238090194
132134839a
141368c45a
15b83db51
hex7d79a00

131570176 has 40 divisors (see below), whose sum is σ = 264044484. Its totient is φ = 65495040.

The previous prime is 131570161. The next prime is 131570203. The reversal of 131570176 is 671075131.

It can be written as a sum of positive squares in 2 ways, for example, as 104530176 + 27040000 = 10224^2 + 5200^2 .

It is a super-2 number, since 2×1315701762 = 34621422425341952, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 159846 + ... + 160666.

Almost surely, 2131570176 is an apocalyptic number.

131570176 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 131570176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132022242).

131570176 is an abundant number, since it is smaller than the sum of its proper divisors (132474308).

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

131570176 is an frugal number, since it uses more digits than its factorization.

131570176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 131570176 is about 11470.4043520706. The cubic root of 131570176 is about 508.6110818481.

The spelling of 131570176 in words is "one hundred thirty-one million, five hundred seventy thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 313 512 626 821 1252 1642 2504 3284 5008 6568 10016 13136 20032 26272 40064 52544 80128 105088 160256 210176 256973 420352 513946 1027892 2055784 4111568 8223136 16446272 32892544 65785088 131570176