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131857146 = 23690437
BaseRepresentation
bin1111101101111…
…11101011111010
3100012010001000000
413312333223322
5232223412041
621030053430
73160524111
oct766775372
9305101000
10131857146
1168480253
12381aa276
1321418ba5
1413724c78
15b898bb6
hex7dbfafa

131857146 has 28 divisors (see below), whose sum is σ = 296546202. Its totient is φ = 43951896.

The previous prime is 131857127. The next prime is 131857147. The reversal of 131857146 is 641758131.

It can be written as a sum of positive squares in only one way, i.e., 125552025 + 6305121 = 11205^2 + 2511^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131857146.

It is not an unprimeable number, because it can be changed into a prime (131857147) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 43761 + ... + 46676.

Almost surely, 2131857146 is an apocalyptic number.

131857146 is an abundant number, since it is smaller than the sum of its proper divisors (164689056).

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

131857146 is an frugal number, since it uses more digits than its factorization.

131857146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90457 (or 90442 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 131857146 is about 11482.9066877686. The cubic root of 131857146 is about 508.9805934887.

The spelling of 131857146 in words is "one hundred thirty-one million, eight hundred fifty-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 90437 180874 271311 542622 813933 1627866 2441799 4883598 7325397 14650794 21976191 43952382 65928573 131857146