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2004650960 = 245132314783
BaseRepresentation
bin111011101111100…
…1000101111010000
312011201002211010212
41313133020233100
513101142312320
6530530343252
7100451152304
oct16737105720
95151084125
102004650960
11939633a34
1247b42ab28
1325c415300
14150349d04
15baed09c5
hex777c8bd0

2004650960 has 120 divisors (see below), whose sum is σ = 5210809344. Its totient is φ = 716152320.

The previous prime is 2004650957. The next prime is 2004650969. The reversal of 2004650960 is 690564002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004650969) 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, 416729 + ... + 421511.

Almost surely, 22004650960 is an apocalyptic number.

2004650960 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 2004650960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605404672).

2004650960 is an abundant number, since it is smaller than the sum of its proper divisors (3206158384).

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

2004650960 is a wasteful number, since it uses less digits than its factorization.

2004650960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 2004650960 is about 44773.3286678576. The cubic root of 2004650960 is about 1260.8969342199.

The spelling of 2004650960 in words is "two billion, four million, six hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 169 208 248 260 310 338 403 496 520 620 676 806 845 1040 1240 1352 1612 1690 2015 2480 2704 3224 3380 4030 4783 5239 6448 6760 8060 9566 10478 13520 16120 19132 20956 23915 26195 32240 38264 41912 47830 52390 62179 76528 83824 95660 104780 124358 148273 191320 209560 248716 296546 310895 382640 419120 497432 593092 621790 741365 808327 994864 1186184 1243580 1482730 1616654 1927549 2372368 2487160 2965460 3233308 3855098 4041635 4974320 5930920 6466616 7710196 8083270 9637745 11861840 12933232 15420392 16166540 19275490 25058137 30840784 32333080 38550980 50116274 64666160 77101960 100232548 125290685 154203920 200465096 250581370 400930192 501162740 1002325480 2004650960