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131432340 = 2235131671009
BaseRepresentation
bin1111101010101…
…11111110010100
3100011022110021110
413311113332110
5232121313330
621013015020
73154104444
oct765277624
9304273243
10131432340
1168210076
1238024470
13212ca720
1413654124
15b812db0
hex7d57f94

131432340 has 96 divisors (see below), whose sum is σ = 399087360. Its totient is φ = 32126976.

The previous prime is 131432317. The next prime is 131432383. The reversal of 131432340 is 43234131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129756 + ... + 130764.

It is an arithmetic number, because the mean of its divisors is an integer number (4157160).

Almost surely, 2131432340 is an apocalyptic number.

131432340 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 131432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199543680).

131432340 is an abundant number, since it is smaller than the sum of its proper divisors (267655020).

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

131432340 is a wasteful number, since it uses less digits than its factorization.

131432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 131432340 is about 11464.3944454123. The cubic root of 131432340 is about 508.4334088256.

Adding to 131432340 its reverse (43234131), we get a palindrome (174666471).

The spelling of 131432340 in words is "one hundred thirty-one million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 167 195 260 334 390 501 668 780 835 1002 1009 1670 2004 2018 2171 2505 3027 3340 4036 4342 5010 5045 6054 6513 8684 10020 10090 10855 12108 13026 13117 15135 20180 21710 26052 26234 30270 32565 39351 43420 52468 60540 65130 65585 78702 130260 131170 157404 168503 196755 262340 337006 393510 505509 674012 787020 842515 1011018 1685030 2022036 2190539 2527545 3370060 4381078 5055090 6571617 8762156 10110180 10952695 13143234 21905390 26286468 32858085 43810780 65716170 131432340