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131885460 = 223257219787
BaseRepresentation
bin1111101110001…
…10100110010100
3100012011110211200
413313012212110
5232230313320
621030432500
73161002500
oct767064624
9305143750
10131885460
116849a553
1238202730
1321428a45
1413731300
15b8a2290
hex7dc6994

131885460 has 216 divisors, whose sum is σ = 490482720. Its totient is φ = 28522368.

The previous prime is 131885443. The next prime is 131885489. The reversal of 131885460 is 64588131.

131885460 is a `hidden beast` number, since 1 + 31 + 88 + 546 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167187 + ... + 167973.

Almost surely, 2131885460 is an apocalyptic number.

131885460 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 131885460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245241360).

131885460 is an abundant number, since it is smaller than the sum of its proper divisors (358597260).

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

131885460 is a wasteful number, since it uses less digits than its factorization.

131885460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 131885460 is about 11484.1394975854. The cubic root of 131885460 is about 509.0170224210.

The spelling of 131885460 in words is "one hundred thirty-one million, eight hundred eighty-five thousand, four hundred sixty".