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12255840 = 253352837
BaseRepresentation
bin101110110000…
…001001100000
3212001122212000
4232300021200
511114141330
61114404000
7206113212
oct56601140
925048760
1012255840
116a10aa3
124130600
13270159c
1418b05b2
151121560
hexbb0260

12255840 has 96 divisors (see below), whose sum is σ = 42910560. Its totient is φ = 3267072.

The previous prime is 12255829. The next prime is 12255847. The reversal of 12255840 is 4855221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×122558402 = 300411228211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12255847) 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, 2902 + ... + 5738.

It is an arithmetic number, because the mean of its divisors is an integer number (446985).

Almost surely, 212255840 is an apocalyptic number.

12255840 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 12255840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21455280).

12255840 is an abundant number, since it is smaller than the sum of its proper divisors (30654720).

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

12255840 is a wasteful number, since it uses less digits than its factorization.

12255840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 12255840 is about 3500.8341863047. The cubic root of 12255840 is about 230.5584413654.

The spelling of 12255840 in words is "twelve million, two hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 2837 4320 5674 8511 11348 14185 17022 22696 25533 28370 34044 42555 45392 51066 56740 68088 76599 85110 90784 102132 113480 127665 136176 153198 170220 204264 226960 255330 272352 306396 340440 382995 408528 453920 510660 612792 680880 765990 817056 1021320 1225584 1361760 1531980 2042640 2451168 3063960 4085280 6127920 12255840