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131779968 = 273343177
BaseRepresentation
bin1111101101011…
…00110110000000
3100011222010010120
413312230312000
5232213424333
621024300240
73160053105
oct766546600
9304863116
10131779968
1168428271
1238171680
13213bca18
1413704aac
15b880db3
hex7dacd80

131779968 has 32 divisors (see below), whose sum is σ = 350041560. Its totient is φ = 43926528.

The previous prime is 131779961. The next prime is 131779987. The reversal of 131779968 is 869977131.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 131779968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131779961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171205 + ... + 171972.

Almost surely, 2131779968 is an apocalyptic number.

It is an amenable number.

131779968 is an abundant number, since it is smaller than the sum of its proper divisors (218261592).

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

131779968 is an equidigital number, since it uses as much as digits as its factorization.

131779968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343194 (or 343182 counting only the distinct ones).

The product of its digits is 571536, while the sum is 51.

The square root of 131779968 is about 11479.5456356077. The cubic root of 131779968 is about 508.8812694043.

The spelling of 131779968 in words is "one hundred thirty-one million, seven hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 343177 686354 1029531 1372708 2059062 2745416 4118124 5490832 8236248 10981664 16472496 21963328 32944992 43926656 65889984 131779968