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131690832 = 24372135973
BaseRepresentation
bin1111101100101…
…11000101010000
3100011210120212020
413312113011100
5232203101312
621022331440
73156232200
oct766270520
9304716766
10131690832
11683772a9
1238129b80
132138b290
14136c0400
15b86478c
hex7d97150

131690832 has 240 divisors, whose sum is σ = 439346880. Its totient is φ = 33675264.

The previous prime is 131690831. The next prime is 131690869. The reversal of 131690832 is 238096131.

It is a junction number, because it is equal to n+sod(n) for n = 131690793 and 131690802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131690831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1803948 + ... + 1804020.

It is an arithmetic number, because the mean of its divisors is an integer number (1830612).

Almost surely, 2131690832 is an apocalyptic number.

131690832 is a gapful number since it is divisible by the number (12) 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 131690832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219673440).

131690832 is an abundant number, since it is smaller than the sum of its proper divisors (307656048).

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

131690832 is a wasteful number, since it uses less digits than its factorization.

131690832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 131690832 is about 11475.6625952491. The cubic root of 131690832 is about 508.7665077238.

The spelling of 131690832 in words is "one hundred thirty-one million, six hundred ninety thousand, eight hundred thirty-two".