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12530560 = 27572797
BaseRepresentation
bin101111110011…
…001110000000
3212120121200211
4233303032000
511201434220
61124323504
7211336150
oct57631600
925517624
1012530560
117089439
124243594
132799643
141942760
151177b5a
hexbf3380

12530560 has 64 divisors (see below), whose sum is σ = 34247520. Its totient is φ = 4294656.

The previous prime is 12530521. The next prime is 12530569. The reversal of 12530560 is 6503521.

It is a happy number.

12530560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12530569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3082 + ... + 5878.

Almost surely, 212530560 is an apocalyptic number.

12530560 is a gapful number since it is divisible by the number (10) 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 12530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17123760).

12530560 is an abundant number, since it is smaller than the sum of its proper divisors (21716960).

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

12530560 is an equidigital number, since it uses as much as digits as its factorization.

12530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2811 counting only the distinct ones).

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

The square root of 12530560 is about 3539.8531042968. The cubic root of 12530560 is about 232.2684170349.

The spelling of 12530560 in words is "twelve million, five hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 2797 4480 5594 11188 13985 19579 22376 27970 39158 44752 55940 78316 89504 97895 111880 156632 179008 195790 223760 313264 358016 391580 447520 626528 783160 895040 1253056 1566320 1790080 2506112 3132640 6265280 12530560