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12890920 = 235726577
BaseRepresentation
bin110001001011…
…001100101000
3220020221000111
4301023030220
511300002140
61140144104
7214366600
oct61131450
926227014
1012890920
117305159
124398034
132894683
1419d7c00
1511e97ea
hexc4b328

12890920 has 48 divisors (see below), whose sum is σ = 33745140. Its totient is φ = 4419072.

The previous prime is 12890909. The next prime is 12890939. The reversal of 12890920 is 2909821.

It can be written as a sum of positive squares in 2 ways, for example, as 11957764 + 933156 = 3458^2 + 966^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1329 + ... + 5248.

Almost surely, 212890920 is an apocalyptic number.

12890920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12890920 is an abundant number, since it is smaller than the sum of its proper divisors (20854220).

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

12890920 is a wasteful number, since it uses less digits than its factorization.

12890920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6602 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 12890920 is about 3590.3927361780. The cubic root of 12890920 is about 234.4739705273.

The spelling of 12890920 in words is "twelve million, eight hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 6577 13154 26308 32885 46039 52616 65770 92078 131540 184156 230195 263080 322273 368312 460390 644546 920780 1289092 1611365 1841560 2578184 3222730 6445460 12890920