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560253252 = 2231322271217
BaseRepresentation
bin100001011001001…
…100100101000100
31110001012210222110
4201121030211010
52121411101002
6131332101020
716612034256
oct4131144504
91401183873
10560253252
11268280619
12137764770
138c0c0400
145459bcd6
15342bae6c
hex2164c944

560253252 has 72 divisors (see below), whose sum is σ = 1422955296. Its totient is φ = 171485184.

The previous prime is 560253217. The next prime is 560253259. The reversal of 560253252 is 252352065.

It is not an unprimeable number, because it can be changed into a prime (560253259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459748 + ... + 460964.

It is an arithmetic number, because the mean of its divisors is an integer number (19763268).

Almost surely, 2560253252 is an apocalyptic number.

560253252 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560253252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711477648).

560253252 is an abundant number, since it is smaller than the sum of its proper divisors (862702044).

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

560253252 is a wasteful number, since it uses less digits than its factorization.

560253252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 560253252 is about 23669.6694526983. The cubic root of 560253252 is about 824.3812940626.

The spelling of 560253252 in words is "five hundred sixty million, two hundred fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 227 338 454 507 676 681 908 1014 1217 1362 2028 2434 2724 2951 3651 4868 5902 7302 8853 11804 14604 15821 17706 31642 35412 38363 47463 63284 76726 94926 115089 153452 189852 205673 230178 276259 411346 460356 552518 617019 822692 828777 1105036 1234038 1657554 2468076 3315108 3591367 7182734 10774101 14365468 21548202 43096404 46687771 93375542 140063313 186751084 280126626 560253252