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131297568 = 2535092687
BaseRepresentation
bin1111101001101…
…11000100100000
3100011001121101220
413310313010200
5232103010233
621010055040
73153003513
oct764670440
9304047356
10131297568
1168128896
1237b7a480
132128128c
141361ad7a
15b7d7eb3
hex7d37120

131297568 has 48 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 43663616.

The previous prime is 131297563. The next prime is 131297599. The reversal of 131297568 is 865792131.

131297568 is nontrivially palindromic in base 7.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (131297561) 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, 47521 + ... + 50207.

It is an arithmetic number, because the mean of its divisors is an integer number (7197120).

Almost surely, 2131297568 is an apocalyptic number.

It is an amenable number.

131297568 is an abundant number, since it is smaller than the sum of its proper divisors (214164192).

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

131297568 is a wasteful number, since it uses less digits than its factorization.

131297568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3201 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 131297568 is about 11458.5150870433. The cubic root of 131297568 is about 508.2595652040.

The spelling of 131297568 in words is "one hundred thirty-one million, two hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 509 1018 1527 2036 2687 3054 4072 5374 6108 8061 8144 10748 12216 16122 16288 21496 24432 32244 42992 48864 64488 85984 128976 257952 1367683 2735366 4103049 5470732 8206098 10941464 16412196 21882928 32824392 43765856 65648784 131297568