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12255240 = 2335731399
BaseRepresentation
bin101110110000…
…000000001000
3212001122000210
4232300000020
511114131430
61114401120
7206111364
oct56600010
925048023
1012255240
116a105a8
1241301a0
13270122a
1418b02a4
1511212b0
hexbb0008

12255240 has 64 divisors (see below), whose sum is σ = 37296000. Its totient is φ = 3220992.

The previous prime is 12255227. The next prime is 12255259. The reversal of 12255240 is 4255221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8061 + ... + 9459.

It is an arithmetic number, because the mean of its divisors is an integer number (582750).

Almost surely, 212255240 is an apocalyptic number.

12255240 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 12255240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648000).

12255240 is an abundant number, since it is smaller than the sum of its proper divisors (25040760).

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

12255240 is a wasteful number, since it uses less digits than its factorization.

12255240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 12255240 is about 3500.7484913944. The cubic root of 12255240 is about 230.5546788782.

The spelling of 12255240 in words is "twelve million, two hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1399 1460 1752 2190 2798 2920 4197 4380 5596 6995 8394 8760 11192 13990 16788 20985 27980 33576 41970 55960 83940 102127 167880 204254 306381 408508 510635 612762 817016 1021270 1225524 1531905 2042540 2451048 3063810 4085080 6127620 12255240