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131982606 = 23274672243
BaseRepresentation
bin1111101110111…
…10010100001110
3100012100102002200
413313132110032
5232241420411
621032502330
73161555640
oct767362416
9305312080
10131982606
1168556538
123824a9a6
1321461022
1413758890
15b8c0e56
hex7dde50e

131982606 has 48 divisors (see below), whose sum is σ = 327659904. Its totient is φ = 37611792.

The previous prime is 131982601. The next prime is 131982619. The reversal of 131982606 is 606289131.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131982601) 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 23 ways as a sum of consecutive naturals, for example, 57721 + ... + 59963.

It is an arithmetic number, because the mean of its divisors is an integer number (6826248).

Almost surely, 2131982606 is an apocalyptic number.

131982606 is an abundant number, since it is smaller than the sum of its proper divisors (195677298).

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

131982606 is a wasteful number, since it uses less digits than its factorization.

131982606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 131982606 is about 11488.3682914503. The cubic root of 131982606 is about 509.1419713258.

The spelling of 131982606 in words is "one hundred thirty-one million, nine hundred eighty-two thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 467 934 1401 2243 2802 3269 4203 4486 6538 6729 8406 9807 13458 15701 19614 20187 29421 31402 40374 47103 58842 94206 141309 282618 1047481 2094962 3142443 6284886 7332367 9427329 14664734 18854658 21997101 43994202 65991303 131982606