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131628180 = 22352193803
BaseRepresentation
bin1111101100001…
…11110010010100
3100011200101220210
413312013302110
5232144100210
621021125420
73155551425
oct766076224
9304611823
10131628180
1168334222
12380b9870
13213688c8
14136a564c
15b850e20
hex7d87c94

131628180 has 24 divisors (see below), whose sum is σ = 368559072. Its totient is φ = 35100832.

The previous prime is 131628169. The next prime is 131628197. The reversal of 131628180 is 81826131.

It is a super-2 number, since 2×1316281802 = 34651955540224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1096842 + ... + 1096961.

It is an arithmetic number, because the mean of its divisors is an integer number (15356628).

Almost surely, 2131628180 is an apocalyptic number.

131628180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131628180 is an abundant number, since it is smaller than the sum of its proper divisors (236930892).

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

131628180 is a wasteful number, since it uses less digits than its factorization.

131628180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193815 (or 2193813 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 131628180 is about 11472.9324934822. The cubic root of 131628180 is about 508.6858129253.

The spelling of 131628180 in words is "one hundred thirty-one million, six hundred twenty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2193803 4387606 6581409 8775212 10969015 13162818 21938030 26325636 32907045 43876060 65814090 131628180