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131256640 = 265439539
BaseRepresentation
bin1111101001011…
…01000101000000
3100010222112021001
413310231011000
5232100203030
621005141344
73152443264
oct764550500
9303875231
10131256640
1168100069
1237b5a854
1321268768
141360a0a4
15b7cacca
hex7d2d140

131256640 has 56 divisors (see below), whose sum is σ = 319857120. Its totient is φ = 51276288.

The previous prime is 131256637. The next prime is 131256641. The reversal of 131256640 is 46652131.

It is a junction number, because it is equal to n+sod(n) for n = 131256599 and 131256608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131256641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8991 + ... + 18529.

Almost surely, 2131256640 is an apocalyptic number.

131256640 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 131256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159928560).

131256640 is an abundant number, since it is smaller than the sum of its proper divisors (188600480).

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

131256640 is an equidigital number, since it uses as much as digits as its factorization.

131256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9599 (or 9589 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 131256640 is about 11456.7290270827. The cubic root of 131256640 is about 508.2067482589.

The spelling of 131256640 in words is "one hundred thirty-one million, two hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1720 2752 3440 6880 9539 13760 19078 38156 47695 76312 95390 152624 190780 305248 381560 410177 610496 763120 820354 1526240 1640708 2050885 3052480 3281416 4101770 6562832 8203540 13125664 16407080 26251328 32814160 65628320 131256640