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131900160 = 283572701
BaseRepresentation
bin1111101110010…
…10001100000000
3100012012020000010
413313022030000
5232231301120
621031024520
73161063400
oct767121400
9305166003
10131900160
11684aa5a7
123820b140
1321432642
1413736800
15b8a67e0
hex7dca300

131900160 has 216 divisors, whose sum is σ = 490731696. Its totient is φ = 30105600.

The previous prime is 131900159. The next prime is 131900173. The reversal of 131900160 is 61009131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187810 + ... + 188510.

It is an arithmetic number, because the mean of its divisors is an integer number (2271906).

Almost surely, 2131900160 is an apocalyptic number.

131900160 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 131900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245365848).

131900160 is an abundant number, since it is smaller than the sum of its proper divisors (358831536).

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

131900160 is an equidigital number, since it uses as much as digits as its factorization.

131900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 131900160 is about 11484.7794928766. The cubic root of 131900160 is about 509.0359334575.

Adding to 131900160 its reverse (61009131), we get a palindrome (192909291).

The spelling of 131900160 in words is "one hundred thirty-one million, nine hundred thousand, one hundred sixty".