Search a number
-
+
560625312 = 253132112129
BaseRepresentation
bin100001011010100…
…111011010100000
31110001220201100110
4201122213122200
52122010002222
6131344051320
716615144062
oct4132473240
91401821313
10560625312
11268505105
12137903b40
138c1c0870
1454657732
153434130c
hex216a76a0

560625312 has 96 divisors (see below), whose sum is σ = 1593103680. Its totient is φ = 171601920.

The previous prime is 560625311. The next prime is 560625383. The reversal of 560625312 is 213526065.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 560625312.

It is not an unprimeable number, because it can be changed into a prime (560625311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 262264 + ... + 264392.

It is an arithmetic number, because the mean of its divisors is an integer number (16594830).

Almost surely, 2560625312 is an apocalyptic number.

560625312 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 560625312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796551840).

560625312 is an abundant number, since it is smaller than the sum of its proper divisors (1032478368).

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

560625312 is a wasteful number, since it uses less digits than its factorization.

560625312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 560625312 is about 23677.5275736298. The cubic root of 560625312 is about 824.5637421678.

The spelling of 560625312 in words is "five hundred sixty million, six hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 211 312 416 422 624 633 844 1248 1266 1688 2129 2532 2743 3376 4258 5064 5486 6387 6752 8229 8516 10128 10972 12774 16458 17032 20256 21944 25548 27677 32916 34064 43888 51096 55354 65832 68128 83031 87776 102192 110708 131664 166062 204384 221416 263328 332124 442832 449219 664248 885664 898438 1328496 1347657 1796876 2656992 2695314 3593752 5390628 5839847 7187504 10781256 11679694 14375008 17519541 21562512 23359388 35039082 43125024 46718776 70078164 93437552 140156328 186875104 280312656 560625312