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131806765 = 5376191151
BaseRepresentation
bin1111101101100…
…11011000101101
3100012000110220001
413312303120231
5232220304030
621025024301
73160224166
oct766633055
9305013801
10131806765
1168446412
1238185091
13213cbc8c
141371076d
15b888cca
hex7db362d

131806765 has 16 divisors (see below), whose sum is σ = 162846720. Its totient is φ = 102340800.

The previous prime is 131806757. The next prime is 131806771. The reversal of 131806765 is 567608131.

It is not a de Polignac number, because 131806765 - 23 = 131806757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 113940 + ... + 115090.

It is an arithmetic number, because the mean of its divisors is an integer number (10177920).

Almost surely, 2131806765 is an apocalyptic number.

It is an amenable number.

131806765 is a deficient number, since it is larger than the sum of its proper divisors (31039955).

131806765 is a wasteful number, since it uses less digits than its factorization.

131806765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 131806765 is about 11480.7127391987. The cubic root of 131806765 is about 508.9157601477.

The spelling of 131806765 in words is "one hundred thirty-one million, eight hundred six thousand, seven hundred sixty-five".

Divisors: 1 5 37 185 619 1151 3095 5755 22903 42587 114515 212935 712469 3562345 26361353 131806765