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131998720 = 2105729127
BaseRepresentation
bin1111101111000…
…10010000000000
3100012101020012111
413313202100000
5232242424340
621033105104
73161653630
oct767422000
9305336174
10131998720
1168567657
1238258194
1321468469
14137606c0
15b8c5aea
hex7de2400

131998720 has 176 divisors, whose sum is σ = 377303040. Its totient is φ = 43352064.

The previous prime is 131998703. The next prime is 131998729. The reversal of 131998720 is 27899131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (131998729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039297 + ... + 1039423.

Almost surely, 2131998720 is an apocalyptic number.

131998720 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 131998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188651520).

131998720 is an abundant number, since it is smaller than the sum of its proper divisors (245304320).

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

131998720 is a wasteful number, since it uses less digits than its factorization.

131998720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 131998720 is about 11489.0695880911. The cubic root of 131998720 is about 509.1626911769.

The spelling of 131998720 in words is "one hundred thirty-one million, nine hundred ninety-eight thousand, seven hundred twenty".