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12282880 = 21052399
BaseRepresentation
bin101110110110…
…110000000000
3212010000221111
4232312300000
511121023010
61115133104
7206255101
oct56666000
925100844
1012282880
116a2a345
124144194
13271099c
1418ba3a8
15112958a
hexbb6c00

12282880 has 44 divisors (see below), whose sum is σ = 29476800. Its totient is φ = 4911104.

The previous prime is 12282871. The next prime is 12282887. The reversal of 12282880 is 8828221.

It is not an unprimeable number, because it can be changed into a prime (12282887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3921 + ... + 6319.

Almost surely, 212282880 is an apocalyptic number.

12282880 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 12282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738400).

12282880 is an abundant number, since it is smaller than the sum of its proper divisors (17193920).

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

12282880 is an equidigital number, since it uses as much as digits as its factorization.

12282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 12282880 is about 3504.6939952013. The cubic root of 12282880 is about 230.7278768063.

The spelling of 12282880 in words is "twelve million, two hundred eighty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2399 2560 4798 5120 9596 11995 19192 23990 38384 47980 76768 95960 153536 191920 307072 383840 614144 767680 1228288 1535360 2456576 3070720 6141440 12282880