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12255672 = 23311133571
BaseRepresentation
bin101110110000…
…000110111000
3212001122121210
4232300012320
511114140142
61114403120
7206112552
oct56600670
925048553
1012255672
116a10960
1241304a0
1327014a0
1418b04d2
15112149c
hexbb01b8

12255672 has 64 divisors (see below), whose sum is σ = 36005760. Its totient is φ = 3427200.

The previous prime is 12255653. The next prime is 12255713. The reversal of 12255672 is 27655221.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1647 + ... + 5217.

It is an arithmetic number, because the mean of its divisors is an integer number (562590).

Almost surely, 212255672 is an apocalyptic number.

12255672 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 12255672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18002880).

12255672 is an abundant number, since it is smaller than the sum of its proper divisors (23750088).

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

12255672 is a wasteful number, since it uses less digits than its factorization.

12255672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3600 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 12255672 is about 3500.8101919413. The cubic root of 12255672 is about 230.5573878813.

The spelling of 12255672 in words is "twelve million, two hundred fifty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 3571 7142 10713 14284 21426 28568 39281 42852 46423 78562 85704 92846 117843 139269 157124 185692 235686 278538 314248 371384 471372 510653 557076 942744 1021306 1114152 1531959 2042612 3063918 4085224 6127836 12255672