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2131957880 = 2351310738317
BaseRepresentation
bin111111100010011…
…0001100001111000
312111120122200101222
41333010301201320
513331240123010
6551315131212
7103555225433
oct17704614170
95446580358
102131957880
119a4486568
124b5ba3b08
1327c8ca050
1416320881a
15c727b355
hex7f131878

2131957880 has 64 divisors (see below), whose sum is σ = 5214313440. Its totient is φ = 779807232.

The previous prime is 2131957873. The next prime is 2131957897. The reversal of 2131957880 is 887591312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36482 + ... + 74798.

Almost surely, 22131957880 is an apocalyptic number.

2131957880 is a gapful number since it is divisible by the number (20) 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 2131957880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607156720).

2131957880 is an abundant number, since it is smaller than the sum of its proper divisors (3082355560).

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

2131957880 is a wasteful number, since it uses less digits than its factorization.

2131957880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38448 (or 38444 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The square root of 2131957880 is about 46173.1294152779. The cubic root of 2131957880 is about 1287.0424563287.

The spelling of 2131957880 in words is "two billion, one hundred thirty-one million, nine hundred fifty-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 107 130 214 260 428 520 535 856 1070 1391 2140 2782 4280 5564 6955 11128 13910 27820 38317 55640 76634 153268 191585 306536 383170 498121 766340 996242 1532680 1992484 2490605 3984968 4099919 4981210 8199838 9962420 16399676 19924840 20499595 32799352 40999190 53298947 81998380 106597894 163996760 213195788 266494735 426391576 532989470 1065978940 2131957880