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131427768 = 23329188833
BaseRepresentation
bin1111101010101…
…10110110111000
3100011022020000010
413311112312320
5232121142033
621012541520
73154055223
oct765266670
9304266003
10131427768
116820769a
12380218a0
13212c8614
14136525ba
15b811863
hex7d56db8

131427768 has 32 divisors (see below), whose sum is σ = 339901200. Its totient is φ = 42298368.

The previous prime is 131427767. The next prime is 131427781. The reversal of 131427768 is 867724131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131427767) 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, 93721 + ... + 95112.

Almost surely, 2131427768 is an apocalyptic number.

It is an amenable number.

131427768 is an abundant number, since it is smaller than the sum of its proper divisors (208473432).

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

131427768 is a wasteful number, since it uses less digits than its factorization.

131427768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188871 (or 188867 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 131427768 is about 11464.1950437002. The cubic root of 131427768 is about 508.4275133094.

It can be divided in two parts, 13142 and 7768, that added together give a triangular number (20910 = T204).

The spelling of 131427768 in words is "one hundred thirty-one million, four hundred twenty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 188833 377666 566499 755332 1132998 1510664 2265996 4531992 5476157 10952314 16428471 21904628 32856942 43809256 65713884 131427768