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12232960 = 28519503
BaseRepresentation
bin101110101010…
…100100000000
3212000111110121
4232222210000
511112423320
61114110024
7205656415
oct56524400
925014417
1012232960
1169a5893
12411b314
1326c404c
1418a610c
1511198aa
hexbaa900

12232960 has 72 divisors (see below), whose sum is σ = 30905280. Its totient is φ = 4626432.

The previous prime is 12232949. The next prime is 12232967. The reversal of 12232960 is 6923221.

It is a happy number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12232967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24069 + ... + 24571.

It is an arithmetic number, because the mean of its divisors is an integer number (429240).

Almost surely, 212232960 is an apocalyptic number.

12232960 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 12232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452640).

12232960 is an abundant number, since it is smaller than the sum of its proper divisors (18672320).

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

12232960 is an equidigital number, since it uses as much as digits as its factorization.

12232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 12232960 is about 3497.5648671612. The cubic root of 12232960 is about 230.4148781544.

The spelling of 12232960 in words is "twelve million, two hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 503 608 640 760 1006 1216 1280 1520 2012 2432 2515 3040 4024 4864 5030 6080 8048 9557 10060 12160 16096 19114 20120 24320 32192 38228 40240 47785 64384 76456 80480 95570 128768 152912 160960 191140 305824 321920 382280 611648 643840 764560 1223296 1529120 2446592 3058240 6116480 12232960