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131690232 = 23333171277
BaseRepresentation
bin1111101100101…
…10111011111000
3100011210120001000
413312112323320
5232203041412
621022325000
73156230352
oct766267370
9304716030
10131690232
1168376903
1238129760
132138ac1b
14136c00d2
15b8644dc
hex7d96ef8

131690232 has 128 divisors (see below), whose sum is σ = 384307200. Its totient is φ = 41731200.

The previous prime is 131690231. The next prime is 131690233. The reversal of 131690232 is 232096131.

It is an interprime number because it is at equal distance from previous prime (131690231) and next prime (131690233).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131690196 and 131690205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131690231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475278 + ... + 475554.

It is an arithmetic number, because the mean of its divisors is an integer number (3002400).

Almost surely, 2131690232 is an apocalyptic number.

131690232 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 131690232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192153600).

131690232 is an abundant number, since it is smaller than the sum of its proper divisors (252616968).

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

131690232 is a wasteful number, since it uses less digits than its factorization.

131690232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 131690232 is about 11475.6364529380. The cubic root of 131690232 is about 508.7657350545.

The spelling of 131690232 in words is "one hundred thirty-one million, six hundred ninety thousand, two hundred thirty-two".