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131906077 = 1716694649
BaseRepresentation
bin1111101110010…
…11101000011101
3100012012112010021
413313023220131
5232231443302
621031112141
73161116552
oct767135035
9305175107
10131906077
1168503a96
1238212651
1321435244
1413738a29
15b8a8437
hex7dcba1d

131906077 has 8 divisors (see below), whose sum is σ = 139779000. Its totient is φ = 124045824.

The previous prime is 131906059. The next prime is 131906087. The reversal of 131906077 is 770609131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77898276 + 54007801 = 8826^2 + 7349^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131906077 - 211 = 131904029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131906087) 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 7 ways as a sum of consecutive naturals, for example, 26049 + ... + 30697.

It is an arithmetic number, because the mean of its divisors is an integer number (17472375).

Almost surely, 2131906077 is an apocalyptic number.

131906077 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

131906077 is a deficient number, since it is larger than the sum of its proper divisors (7872923).

131906077 is a wasteful number, since it uses less digits than its factorization.

131906077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335.

The product of its (nonzero) digits is 7938, while the sum is 34.

The square root of 131906077 is about 11485.0370917991. The cubic root of 131906077 is about 509.0435450747.

The spelling of 131906077 in words is "one hundred thirty-one million, nine hundred six thousand, seventy-seven".

Divisors: 1 17 1669 4649 28373 79033 7759181 131906077