Search a number
-
+
159560064 = 2733137337
BaseRepresentation
bin10011000001010…
…11000110000000
3102010020111021000
421200223012000
5311321410224
623455532000
73645144456
oct1140530600
9363214230
10159560064
1182081924
124552a000
1327098451
14172969d6
15e01c0c9
hex982b180

159560064 has 128 divisors (see below), whose sum is σ = 475768800. Its totient is φ = 52641792.

The previous prime is 159560047. The next prime is 159560123. The reversal of 159560064 is 460065951.

159560064 is a `hidden beast` number, since 1 + 595 + 6 + 0 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473304 + ... + 473640.

Almost surely, 2159560064 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 159560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237884400).

159560064 is an abundant number, since it is smaller than the sum of its proper divisors (316208736).

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

159560064 is a wasteful number, since it uses less digits than its factorization.

159560064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 159560064 is about 12631.7086730181. The cubic root of 159560064 is about 542.3854957356.

The spelling of 159560064 in words is "one hundred fifty-nine million, five hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 137 144 192 216 274 288 337 384 411 432 548 576 674 822 864 1011 1096 1152 1233 1348 1644 1728 2022 2192 2466 2696 3033 3288 3456 3699 4044 4384 4932 5392 6066 6576 7398 8088 8768 9099 9864 10784 12132 13152 14796 16176 17536 18198 19728 21568 24264 26304 29592 32352 36396 39456 43136 46169 48528 52608 59184 64704 72792 78912 92338 97056 118368 129408 138507 145584 157824 184676 194112 236736 277014 291168 369352 388224 415521 473472 554028 582336 738704 831042 1108056 1164672 1246563 1477408 1662084 2216112 2493126 2954816 3324168 4432224 4986252 5909632 6648336 8864448 9972504 13296672 17728896 19945008 26593344 39890016 53186688 79780032 159560064