Search a number
-
+
2130531588 = 2232104956417
BaseRepresentation
bin111111011111101…
…0101010100000100
312111110222012220100
41332333111110010
513330404002323
6551224404100
7103540135233
oct17677252404
95443865810
102130531588
119a36a1a09
124b5616630
1327c51aaa3
14162d56b1a
15c7098943
hex7efd5504

2130531588 has 36 divisors (see below), whose sum is σ = 5390739900. Its totient is φ = 709487616.

The previous prime is 2130531587. The next prime is 2130531589. The reversal of 2130531588 is 8851350312.

2130531588 is a `hidden beast` number, since 21 + 3 + 0 + 53 + 1 + 588 = 666.

It is an interprime number because it is at equal distance from previous prime (2130531587) and next prime (2130531589).

It can be written as a sum of positive squares in 2 ways, for example, as 1651447044 + 479084544 = 40638^2 + 21888^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2130531581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9556 + ... + 65972.

It is an arithmetic number, because the mean of its divisors is an integer number (149742775).

Almost surely, 22130531588 is an apocalyptic number.

It is an amenable number.

2130531588 is an abundant number, since it is smaller than the sum of its proper divisors (3260208312).

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

2130531588 is a wasteful number, since it uses less digits than its factorization.

2130531588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57476 (or 57471 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2130531588 is about 46157.6817875421. The cubic root of 2130531588 is about 1286.7553793821.

The spelling of 2130531588 in words is "two billion, one hundred thirty million, five hundred thirty-one thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1049 2098 3147 4196 6294 9441 12588 18882 37764 56417 112834 169251 225668 338502 507753 677004 1015506 2031012 59181433 118362866 177544299 236725732 355088598 532632897 710177196 1065265794 2130531588