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131551140 = 223572931069
BaseRepresentation
bin1111101011101…
…00111110100100
3100011112111020110
413311310332210
5232134114030
621015333020
73155111010
oct765647644
9304474213
10131551140
1168291356
1238081170
132133c816
1413685540
15b8381b0
hex7d74fa4

131551140 has 96 divisors (see below), whose sum is σ = 422795520. Its totient is φ = 29938176.

The previous prime is 131551127. The next prime is 131551153. The reversal of 131551140 is 41155131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131551127) and next prime (131551153).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122526 + ... + 123594.

It is an arithmetic number, because the mean of its divisors is an integer number (4404120).

Almost surely, 2131551140 is an apocalyptic number.

131551140 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 131551140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211397760).

131551140 is an abundant number, since it is smaller than the sum of its proper divisors (291244380).

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

131551140 is a wasteful number, since it uses less digits than its factorization.

131551140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 131551140 is about 11469.5745343932. The cubic root of 131551140 is about 508.5865514978.

The spelling of 131551140 in words is "one hundred thirty-one million, five hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 293 420 586 879 1069 1172 1465 1758 2051 2138 2930 3207 3516 4102 4276 4395 5345 5860 6153 6414 7483 8204 8790 10255 10690 12306 12828 14966 16035 17580 20510 21380 22449 24612 29932 30765 32070 37415 41020 44898 61530 64140 74830 89796 112245 123060 149660 224490 313217 448980 626434 939651 1252868 1566085 1879302 2192519 3132170 3758604 4385038 4698255 6264340 6577557 8770076 9396510 10962595 13155114 18793020 21925190 26310228 32887785 43850380 65775570 131551140