Search a number
-
+
56060016 = 243172329103
BaseRepresentation
bin1101010111011…
…0100001110000
310220111010212220
43111312201300
5103322410031
65321321040
71250334165
oct325664160
9126433786
1056060016
112970a7a1
1216936180
13b7ca80c
14763406c
154dc5596
hex3576870

56060016 has 160 divisors (see below), whose sum is σ = 167132160. Its totient is φ = 16084992.

The previous prime is 56059981. The next prime is 56060021. The reversal of 56060016 is 61006065.

56060016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544221 + ... + 544323.

It is an arithmetic number, because the mean of its divisors is an integer number (1044576).

Almost surely, 256060016 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 56060016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

56060016 is an abundant number, since it is smaller than the sum of its proper divisors (111072144).

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

56060016 is a wasteful number, since it uses less digits than its factorization.

56060016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 56060016 is about 7487.3236874066. The cubic root of 56060016 is about 382.7228621366.

The spelling of 56060016 in words is "fifty-six million, sixty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 29 34 46 48 51 58 68 69 87 92 102 103 116 136 138 174 184 204 206 232 272 276 309 348 368 391 408 412 464 493 552 618 667 696 782 816 824 986 1104 1173 1236 1334 1392 1479 1564 1648 1751 1972 2001 2346 2369 2472 2668 2958 2987 3128 3502 3944 4002 4692 4738 4944 5253 5336 5916 5974 6256 7004 7107 7888 8004 8961 9384 9476 10506 10672 11339 11832 11948 14008 14214 16008 17922 18768 18952 21012 22678 23664 23896 28016 28428 32016 34017 35844 37904 40273 42024 45356 47792 50779 56856 68034 68701 71688 80546 84048 90712 101558 113712 120819 136068 137402 143376 152337 161092 181424 203116 206103 241638 272136 274804 304674 322184 406232 412206 483276 544272 549608 609348 644368 812464 824412 966552 1099216 1167917 1218696 1648824 1933104 2335834 2437392 3297648 3503751 4671668 7007502 9343336 14015004 18686672 28030008 56060016