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12853890 = 234572267
BaseRepresentation
bin110001000010…
…001010000010
3220012001020000
4301002022002
511242311030
61135300430
7214153620
oct61021202
926161200
1012853890
11728a355
12437a716
13288086a
1419c8510
1511dd860
hexc42282

12853890 has 80 divisors (see below), whose sum is σ = 39517632. Its totient is φ = 2936736.

The previous prime is 12853877. The next prime is 12853963. The reversal of 12853890 is 9835821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4537 + ... + 6803.

Almost surely, 212853890 is an apocalyptic number.

12853890 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 12853890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19758816).

12853890 is an abundant number, since it is smaller than the sum of its proper divisors (26663742).

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

12853890 is a wasteful number, since it uses less digits than its factorization.

12853890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 12853890 is about 3585.2322100528. The cubic root of 12853890 is about 234.2492413337.

The spelling of 12853890 in words is "twelve million, eight hundred fifty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2267 2835 4534 5670 6801 11335 13602 15869 20403 22670 31738 34005 40806 47607 61209 68010 79345 95214 102015 122418 142821 158690 183627 204030 238035 285642 306045 367254 428463 476070 612090 714105 856926 918135 1285389 1428210 1836270 2142315 2570778 4284630 6426945 12853890