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131354336 = 254395461
BaseRepresentation
bin1111101010001…
…00111011100000
3100011011111021102
413311010323200
5232111314321
621011213532
73153331151
oct765047340
9304144242
10131354336
1168167503
1237ba72a8
13212a1079
1413633928
15b7e9c0b
hex7d44ee0

131354336 has 24 divisors (see below), whose sum is σ = 264620664. Its totient is φ = 64149120.

The previous prime is 131354309. The next prime is 131354341. The reversal of 131354336 is 633453131.

It is a junction number, because it is equal to n+sod(n) for n = 131354299 and 131354308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46355 + ... + 49106.

It is an arithmetic number, because the mean of its divisors is an integer number (11025861).

Almost surely, 2131354336 is an apocalyptic number.

131354336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131354336 is an abundant number, since it is smaller than the sum of its proper divisors (133266328).

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

131354336 is an equidigital number, since it uses as much as digits as its factorization.

131354336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95514 (or 95506 counting only the distinct ones).

The product of its digits is 9720, while the sum is 29.

The square root of 131354336 is about 11460.9919291482. The cubic root of 131354336 is about 508.3328052549.

It can be divided in two parts, 13135 and 4336, that added together give a palindrome (17471).

The spelling of 131354336 in words is "one hundred thirty-one million, three hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 95461 190922 381844 763688 1527376 3054752 4104823 8209646 16419292 32838584 65677168 131354336