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2131961960 = 235113471673
BaseRepresentation
bin111111100010011…
…0010100001101000
312111120122220000002
41333010302201220
513331240240320
6551315202132
7103555243352
oct17704624150
95446586002
102131961960
119a4489637
124b5ba6348
1327c8cbb6b
1416320a0d2
15c727c675
hex7f132868

2131961960 has 32 divisors (see below), whose sum is σ = 4839375240. Its totient is φ = 845236224.

The previous prime is 2131961957. The next prime is 2131961963. The reversal of 2131961960 is 691691312.

It is an interprime number because it is at equal distance from previous prime (2131961957) and next prime (2131961963).

It can be written as a sum of positive squares in 4 ways, for example, as 1638144676 + 493817284 = 40474^2 + 22222^2 .

It is not an unprimeable number, because it can be changed into a prime (2131961963) 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, 231317 + ... + 240356.

Almost surely, 22131961960 is an apocalyptic number.

2131961960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131961960 is an abundant number, since it is smaller than the sum of its proper divisors (2707413280).

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

2131961960 is a wasteful number, since it uses less digits than its factorization.

2131961960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471797 (or 471793 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 2131961960 is about 46173.1735967975. The cubic root of 2131961960 is about 1287.0432773471.

The spelling of 2131961960 in words is "two billion, one hundred thirty-one million, nine hundred sixty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 471673 943346 1886692 2358365 3773384 4716730 9433460 18866920 53299049 106598098 213196196 266495245 426392392 532990490 1065980980 2131961960