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12251680 = 255710939
BaseRepresentation
bin101110101111…
…001000100000
3212001110010221
4232233020200
511114023210
61114332424
7206065120
oct56571040
925043127
1012251680
116a08961
12412a114
1326cc71c
1418acc80
1511201da
hexbaf220

12251680 has 48 divisors (see below), whose sum is σ = 33082560. Its totient is φ = 4200192.

The previous prime is 12251677. The next prime is 12251719. The reversal of 12251680 is 8615221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4350 + ... + 6589.

It is an arithmetic number, because the mean of its divisors is an integer number (689220).

Almost surely, 212251680 is an apocalyptic number.

12251680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12251680 is an abundant number, since it is smaller than the sum of its proper divisors (20830880).

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

12251680 is a wasteful number, since it uses less digits than its factorization.

12251680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10961 (or 10953 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 12251680 is about 3500.2399917720. The cubic root of 12251680 is about 230.5323522613.

The spelling of 12251680 in words is "twelve million, two hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 10939 21878 43756 54695 76573 87512 109390 153146 175024 218780 306292 350048 382865 437560 612584 765730 875120 1225168 1531460 1750240 2450336 3062920 6125840 12251680