Search a number
-
+
13320556560 = 2432579234187
BaseRepresentation
bin11000110011111011…
…11001000000010000
31021101022222101101200
430121331321000100
5204240030302220
610041441431200
7651044601603
oct143175710020
937338871350
1013320556560
11571611a333
1226b903b500
13134391933c
1490517033a
1552e671890
hex319f79010

13320556560 has 120 divisors (see below), whose sum is σ = 45301326720. Its totient is φ = 3507169536.

The previous prime is 13320556549. The next prime is 13320556577. The reversal of 13320556560 is 6565502331.

13320556560 is a `hidden beast` number, since 1 + 3 + 32 + 0 + 5 + 565 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60214 + ... + 173973.

It is an arithmetic number, because the mean of its divisors is an integer number (377511056).

Almost surely, 213320556560 is an apocalyptic number.

13320556560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320556560 is an abundant number, since it is smaller than the sum of its proper divisors (31980770160).

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

13320556560 is a wasteful number, since it uses less digits than its factorization.

13320556560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234285 (or 234276 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 13320556560 in words is "thirteen billion, three hundred twenty million, five hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 1185 1264 1422 1580 1896 2370 2844 3160 3555 3792 4740 5688 6320 7110 9480 11376 14220 18960 28440 56880 234187 468374 702561 936748 1170935 1405122 1873496 2107683 2341870 2810244 3512805 3746992 4215366 4683740 5620488 7025610 8430732 9367480 10538415 11240976 14051220 16861464 18500773 18734960 21076830 28102440 33722928 37001546 42153660 55502319 56204880 74003092 84307320 92503865 111004638 148006184 166506957 168614640 185007730 222009276 277511595 296012368 333013914 370015460 444018552 555023190 666027828 740030920 832534785 888037104 1110046380 1332055656 1480061840 1665069570 2220092760 2664111312 3330139140 4440185520 6660278280 13320556560