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131640057 = 3214626673
BaseRepresentation
bin1111101100010…
…10101011111001
3100011201000012200
413312022223321
5232144440212
621021300413
73155631153
oct766125371
9304630180
10131640057
116834213a
1238104709
1321371133
14136a9ad3
15b8546dc
hex7d8aaf9

131640057 has 6 divisors (see below), whose sum is σ = 190146762. Its totient is φ = 87760032.

The previous prime is 131640049. The next prime is 131640073. The reversal of 131640057 is 750046131.

131640057 is a `hidden beast` number, since 13 + 1 + 640 + 0 + 5 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129140496 + 2499561 = 11364^2 + 1581^2 .

It is not a de Polignac number, because 131640057 - 23 = 131640049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131640057.

It is not an unprimeable number, because it can be changed into a prime (131640007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7313328 + ... + 7313345.

It is an arithmetic number, because the mean of its divisors is an integer number (31691127).

Almost surely, 2131640057 is an apocalyptic number.

It is an amenable number.

131640057 is a deficient number, since it is larger than the sum of its proper divisors (58506705).

131640057 is a wasteful number, since it uses less digits than its factorization.

131640057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14626679 (or 14626676 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 131640057 is about 11473.4500914067. The cubic root of 131640057 is about 508.7011122826.

Adding to 131640057 its reverse (750046131), we get a palindrome (881686188).

The spelling of 131640057 in words is "one hundred thirty-one million, six hundred forty thousand, fifty-seven".

Divisors: 1 3 9 14626673 43880019 131640057