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131574272 = 29256981
BaseRepresentation
bin1111101011110…
…10101000000000
3100011120122222012
413311322220000
5232140334042
621020032052
73155235314
oct765725000
9304518865
10131574272
11682a7775
1238092628
132134a1cb
141368db44
15b83ee82
hex7d7aa00

131574272 has 20 divisors (see below), whose sum is σ = 262892586. Its totient is φ = 65786880.

The previous prime is 131574269. The next prime is 131574277. The reversal of 131574272 is 272475131.

It can be written as a sum of positive squares in only one way, i.e., 122235136 + 9339136 = 11056^2 + 3056^2 .

It is a super-3 number, since 3×1315742723 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (131574277) 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 as a sum of consecutive naturals, namely, 127979 + ... + 129002.

Almost surely, 2131574272 is an apocalyptic number.

It is an amenable number.

131574272 is a deficient number, since it is larger than the sum of its proper divisors (131318314).

131574272 is an frugal number, since it uses more digits than its factorization.

131574272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256999 (or 256983 counting only the distinct ones).

The product of its digits is 11760, while the sum is 32.

The square root of 131574272 is about 11470.5828971330. The cubic root of 131574272 is about 508.6163597650.

The spelling of 131574272 in words is "one hundred thirty-one million, five hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 256981 513962 1027924 2055848 4111696 8223392 16446784 32893568 65787136 131574272