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556000060 = 225721151577
BaseRepresentation
bin100001001000111…
…110001100111100
31102202012201200211
4201020332030330
52114314000220
6131101002204
716530631300
oct4110761474
91382181624
10556000060
11265936090
12136253364
138b261525
1453bb1d00
1533c2ab5a
hex2123e33c

556000060 has 72 divisors (see below), whose sum is σ = 1481732784. Its totient is φ = 173295360.

The previous prime is 556000033. The next prime is 556000069. The reversal of 556000060 is 60000655.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 555999995 and 556000040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556000069) 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, 15009 + ... + 36568.

It is an arithmetic number, because the mean of its divisors is an integer number (20579622).

Almost surely, 2556000060 is an apocalyptic number.

It is an amenable number.

556000060 is an abundant number, since it is smaller than the sum of its proper divisors (925732724).

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

556000060 is a wasteful number, since it uses less digits than its factorization.

556000060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51611 (or 51602 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 556000060 is about 23579.6535173866. The cubic root of 556000060 is about 822.2898814409.

It can be divided in two parts, 5 and 56000060, that added together give a palindrome (56000065).

The spelling of 556000060 in words is "five hundred fifty-six million, sixty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 51577 103154 206308 257885 361039 515770 567347 722078 1031540 1134694 1444156 1805195 2269388 2527273 2836735 3610390 3971429 5054546 5673470 7220780 7942858 10109092 11346940 12636365 15885716 19857145 25272730 27800003 39714290 50545460 55600006 79428580 111200012 139000015 278000030 556000060