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131956048 = 2471279277
BaseRepresentation
bin1111101110101…
…11110101010000
3100012022001200001
413313113311100
5232240043143
621032135344
73161415340
oct767276520
9305261601
10131956048
1168538594
1238237554
1321451c03
141374cd20
15b8b814d
hex7dd7d50

131956048 has 40 divisors (see below), whose sum is σ = 294520832. Its totient is φ = 56101248.

The previous prime is 131956043. The next prime is 131956063. The reversal of 131956048 is 840659131.

It is a junction number, because it is equal to n+sod(n) for n = 131955998 and 131956016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131956043) 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 7 ways as a sum of consecutive naturals, for example, 9586 + ... + 18862.

Almost surely, 2131956048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131956048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147260416).

131956048 is an abundant number, since it is smaller than the sum of its proper divisors (162564784).

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

131956048 is a wasteful number, since it uses less digits than its factorization.

131956048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9419 (or 9413 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 131956048 is about 11487.2123685427. The cubic root of 131956048 is about 509.1078185942.

The spelling of 131956048 in words is "one hundred thirty-one million, nine hundred fifty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 889 1016 1778 2032 3556 7112 9277 14224 18554 37108 64939 74216 129878 148432 259756 519512 1039024 1178179 2356358 4712716 8247253 9425432 16494506 18850864 32989012 65978024 131956048