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12885264 = 243374261
BaseRepresentation
bin110001001001…
…110100010000
3220020122021000
4301021310100
511244312024
61140102000
7214344240
oct61116420
926218230
1012885264
117300987
124394900
132891c22
1419d5b20
1511e7cc9
hexc49d10

12885264 has 80 divisors (see below), whose sum is σ = 42279040. Its totient is φ = 3680640.

The previous prime is 12885263. The next prime is 12885289. The reversal of 12885264 is 46258821.

12885264 is a `hidden beast` number, since 128 + 8 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12885263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 894 + ... + 5154.

It is an arithmetic number, because the mean of its divisors is an integer number (528488).

Almost surely, 212885264 is an apocalyptic number.

12885264 is a gapful number since it is divisible by the number (14) 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 12885264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21139520).

12885264 is an abundant number, since it is smaller than the sum of its proper divisors (29393776).

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

12885264 is a wasteful number, since it uses less digits than its factorization.

12885264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4273 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 12885264 is about 3589.6049921962. The cubic root of 12885264 is about 234.4396730326.

The spelling of 12885264 in words is "twelve million, eight hundred eighty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4261 8522 12783 17044 25566 29827 34088 38349 51132 59654 68176 76698 89481 102264 115047 119308 153396 178962 204528 230094 238616 268443 306792 357924 460188 477232 536886 613584 715848 805329 920376 1073772 1431696 1610658 1840752 2147544 3221316 4295088 6442632 12885264