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131496960 = 2103571223
BaseRepresentation
bin1111101011001…
…11110000000000
3100011102201220210
413311213300000
5232130400320
621014234120
73154464030
oct765476000
9304381823
10131496960
1168254681
1238055940
1321320c6a
141366d8c0
15b8270e0
hex7d67c00

131496960 has 176 divisors, whose sum is σ = 481061376. Its totient is φ = 30031872.

The previous prime is 131496949. The next prime is 131496961. The reversal of 131496960 is 69694131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131496961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106909 + ... + 108131.

Almost surely, 2131496960 is an apocalyptic number.

131496960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240530688).

131496960 is an abundant number, since it is smaller than the sum of its proper divisors (349564416).

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

131496960 is a wasteful number, since it uses less digits than its factorization.

131496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 131496960 is about 11467.2123901147. The cubic root of 131496960 is about 508.5167205987.

The spelling of 131496960 in words is "one hundred thirty-one million, four hundred ninety-six thousand, nine hundred sixty".