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12288990 = 2357139421
BaseRepresentation
bin101110111000…
…001111011110
3212010100022210
4232320033132
511121221430
61115221250
7206311650
oct56701736
925110283
1012288990
116a3399a
124147826
1327136bc
1418bc6d0
15112b2b0
hexbb83de

12288990 has 64 divisors (see below), whose sum is σ = 34030080. Its totient is φ = 2782080.

The previous prime is 12288967. The next prime is 12289001. The reversal of 12288990 is 9988221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28980 + ... + 29400.

It is an arithmetic number, because the mean of its divisors is an integer number (531720).

Almost surely, 212288990 is an apocalyptic number.

12288990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12288990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17015040).

12288990 is an abundant number, since it is smaller than the sum of its proper divisors (21741090).

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

12288990 is a wasteful number, since it uses less digits than its factorization.

12288990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577.

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 12288990 is about 3505.5655749108. The cubic root of 12288990 is about 230.7661282489.

The spelling of 12288990 in words is "twelve million, two hundred eighty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 139 210 278 417 421 695 834 842 973 1263 1390 1946 2085 2105 2526 2919 2947 4170 4210 4865 5838 5894 6315 8841 9730 12630 14595 14735 17682 29190 29470 44205 58519 88410 117038 175557 292595 351114 409633 585190 819266 877785 1228899 1755570 2048165 2457798 4096330 6144495 12288990