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5680002960 = 243356534027
BaseRepresentation
bin1010100101000110…
…11111011110010000
3112122211221001021000
411102203133132100
543113040043320
62335342102000
7260520141252
oct52243373620
915584831230
105680002960
112455239325
12112627a900
136c69b8cc8
143bc511cd2
152339c8c90
hex1528df790

5680002960 has 160 divisors (see below), whose sum is σ = 19599281280. Its totient is φ = 1511972352.

The previous prime is 5680002947. The next prime is 5680002997. The reversal of 5680002960 is 692000865.

5680002960 is a `hidden beast` number, since 568 + 0 + 0 + 0 + 2 + 96 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1408467 + ... + 1412493.

It is an arithmetic number, because the mean of its divisors is an integer number (122495508).

Almost surely, 25680002960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5680002960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9799640640).

5680002960 is an abundant number, since it is smaller than the sum of its proper divisors (13919278320).

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

5680002960 is a wasteful number, since it uses less digits than its factorization.

5680002960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5680002960 is about 75365.7943632255. The cubic root of 5680002960 is about 1784.2245908269.

The spelling of 5680002960 in words is "five billion, six hundred eighty million, two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 653 720 1080 1306 1959 2160 2612 3265 3918 4027 5224 5877 6530 7836 8054 9795 10448 11754 12081 13060 15672 16108 17631 19590 20135 23508 24162 26120 29385 31344 32216 35262 36243 39180 40270 47016 48324 52240 58770 60405 64432 70524 72486 78360 80540 88155 94032 96648 108729 117540 120810 141048 144972 156720 161080 176310 181215 193296 217458 235080 241620 282096 289944 322160 352620 362430 434916 470160 483240 543645 579888 705240 724860 869832 966480 1087290 1410480 1449720 1739664 2174580 2629631 2899440 4349160 5259262 7888893 8698320 10518524 13148155 15777786 21037048 23666679 26296310 31555572 39444465 42074096 47333358 52592620 63111144 71000037 78888930 94666716 105185240 118333395 126222288 142000074 157777860 189333432 210370480 236666790 284000148 315555720 355000185 378666864 473333580 568000296 631111440 710000370 946667160 1136000592 1420000740 1893334320 2840001480 5680002960