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131032040 = 23531251421
BaseRepresentation
bin1111100111101…
…10001111101000
3100010120010011112
413303312033220
5232021011130
621000245452
73150516416
oct763661750
9303503145
10131032040
1167a67347
1237a70888
13211ba469
141358c2b6
15b784495
hex7cf63e8

131032040 has 64 divisors (see below), whose sum is σ = 306270720. Its totient is φ = 50400000.

The previous prime is 131031997. The next prime is 131032067. The reversal of 131032040 is 40230131.

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 15 ways as a sum of consecutive naturals, for example, 311030 + ... + 311450.

It is an arithmetic number, because the mean of its divisors is an integer number (4785480).

Almost surely, 2131032040 is an apocalyptic number.

131032040 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 131032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153135360).

131032040 is an abundant number, since it is smaller than the sum of its proper divisors (175238680).

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

131032040 is a wasteful number, since it uses less digits than its factorization.

131032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 131032040 is about 11446.9227305857. The cubic root of 131032040 is about 507.9167098449.

Adding to 131032040 its reverse (40230131), we get a palindrome (171262171).

The spelling of 131032040 in words is "one hundred thirty-one million, thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 251 310 421 502 620 842 1004 1240 1255 1684 2008 2105 2510 3368 4210 5020 7781 8420 10040 13051 15562 16840 26102 31124 38905 52204 62248 65255 77810 104408 105671 130510 155620 211342 261020 311240 422684 522040 528355 845368 1056710 2113420 3275801 4226840 6551602 13103204 16379005 26206408 32758010 65516020 131032040