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12880384 = 29112287
BaseRepresentation
bin110001001000…
…101000000000
3220020101120021
4301020220000
511244133014
61140023224
7214324066
oct61105000
926211507
1012880384
1172a8250
124391b14
13288c93a
1419d4036
1511e6624
hexc48a00

12880384 has 40 divisors (see below), whose sum is σ = 28087488. Its totient is φ = 5852160.

The previous prime is 12880337. The next prime is 12880393. The reversal of 12880384 is 48308821.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4489 + ... + 6775.

Almost surely, 212880384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12880384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14043744).

12880384 is an abundant number, since it is smaller than the sum of its proper divisors (15207104).

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

12880384 is an equidigital number, since it uses as much as digits as its factorization.

12880384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 12880384 is about 3588.9251872949. The cubic root of 12880384 is about 234.4100730683.

Subtracting from 12880384 its sum of digits (34), we obtain a triangular number (12880350 = T5075).

The spelling of 12880384 in words is "twelve million, eight hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2287 2816 4574 5632 9148 18296 25157 36592 50314 73184 100628 146368 201256 292736 402512 585472 805024 1170944 1610048 3220096 6440192 12880384