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12555072 = 263271307
BaseRepresentation
bin101111111001…
…001101000000
3212121212022200
4233321031000
511203230242
61125033200
7211500465
oct57711500
925555280
1012555072
1170a58a2
124255800
1327a784a
14194b66c
15118004c
hexbf9340

12555072 has 84 divisors (see below), whose sum is σ = 36612576. Its totient is φ = 4112640.

The previous prime is 12555071. The next prime is 12555077. The reversal of 12555072 is 27055521.

It is a happy number.

12555072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12555071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40743 + ... + 41049.

It is an arithmetic number, because the mean of its divisors is an integer number (435864).

Almost surely, 212555072 is an apocalyptic number.

12555072 is a gapful number since it is divisible by the number (12) 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 12555072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18306288).

12555072 is an abundant number, since it is smaller than the sum of its proper divisors (24057504).

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

12555072 is a wasteful number, since it uses less digits than its factorization.

12555072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 12555072 is about 3543.3137033009. The cubic root of 12555072 is about 232.4197711393.

The spelling of 12555072 in words is "twelve million, five hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 307 426 568 576 614 639 852 921 1136 1228 1278 1704 1842 2272 2456 2556 2763 3408 3684 4544 4912 5112 5526 6816 7368 9824 10224 11052 13632 14736 19648 20448 21797 22104 29472 40896 43594 44208 58944 65391 87188 88416 130782 174376 176832 196173 261564 348752 392346 523128 697504 784692 1046256 1395008 1569384 2092512 3138768 4185024 6277536 12555072