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2379520660 = 2251122342751
BaseRepresentation
bin1000110111010100…
…1001101010010100
320010211111011200211
42031311021222110
514333124130120
61032041215204
7112652410006
oct21565115224
96124434624
102379520660
1110111a5100
12564a91504
132bbc982ba
1418804c376
15ddd7d25a
hex8dd49a94

2379520660 has 72 divisors (see below), whose sum is σ = 5731504128. Its totient is φ = 827640000.

The previous prime is 2379520657. The next prime is 2379520667. The reversal of 2379520660 is 660259732.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2379520667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34285 + ... + 77035.

It is an arithmetic number, because the mean of its divisors is an integer number (79604224).

Almost surely, 22379520660 is an apocalyptic number.

2379520660 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 2379520660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865752064).

2379520660 is an abundant number, since it is smaller than the sum of its proper divisors (3351983468).

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

2379520660 is a wasteful number, since it uses less digits than its factorization.

2379520660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42805 (or 42792 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 2379520660 is about 48780.3306671859. The cubic root of 2379520660 is about 1335.0468096947.

The spelling of 2379520660 in words is "two billion, three hundred seventy-nine million, five hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 1012 1210 1265 2420 2530 2783 5060 5566 11132 13915 27830 42751 55660 85502 171004 213755 427510 470261 855020 940522 983273 1881044 1966546 2351305 3933092 4702610 4916365 5172871 9405220 9832730 10345742 10816003 19665460 20691484 21632006 25864355 43264012 51728710 54080015 103457420 108160030 118976033 216320060 237952066 475904132 594880165 1189760330 2379520660