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131966324 = 22719248057
BaseRepresentation
bin1111101110110…
…10010101110100
3100012022120202122
413313122111310
5232240410244
621032255112
73161460320
oct767322564
9305276678
10131966324
1168545286
1238241498
13214567a9
1413752980
15b8bb1ee
hex7dda574

131966324 has 24 divisors (see below), whose sum is σ = 277824960. Its totient is φ = 53580096.

The previous prime is 131966279. The next prime is 131966347. The reversal of 131966324 is 423669131.

It is a happy number.

It is a super-2 number, since 2×1319663242 = 34830221340145952, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 123497 + ... + 124560.

It is an arithmetic number, because the mean of its divisors is an integer number (11576040).

Almost surely, 2131966324 is an apocalyptic number.

131966324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131966324 is an abundant number, since it is smaller than the sum of its proper divisors (145858636).

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

131966324 is a wasteful number, since it uses less digits than its factorization.

131966324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248087 (or 248085 counting only the distinct ones).

The product of its digits is 23328, while the sum is 35.

The square root of 131966324 is about 11487.6596398048. The cubic root of 131966324 is about 509.1210337423.

The spelling of 131966324 in words is "one hundred thirty-one million, nine hundred sixty-six thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 248057 496114 992228 1736399 3472798 4713083 6945596 9426166 18852332 32991581 65983162 131966324