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12133890 = 2325294649
BaseRepresentation
bin101110010010…
…011000000010
3211211110120100
4232102120002
511101241030
61112023230
7205064526
oct56223002
924743510
1012133890
11693840a
124091b16
13268ac22
14187bd86
1510ea360
hexb92602

12133890 has 48 divisors (see below), whose sum is σ = 32643000. Its totient is φ = 3123456.

The previous prime is 12133889. The next prime is 12133897. The reversal of 12133890 is 9833121.

It can be written as a sum of positive squares in 4 ways, for example, as 11923209 + 210681 = 3453^2 + 459^2 .

It is not an unprimeable number, because it can be changed into a prime (12133897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286 + ... + 4934.

Almost surely, 212133890 is an apocalyptic number.

12133890 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 12133890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16321500).

12133890 is an abundant number, since it is smaller than the sum of its proper divisors (20509110).

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

12133890 is a wasteful number, since it uses less digits than its factorization.

12133890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12133890 is about 3483.3733650012. The cubic root of 12133890 is about 229.7911778228.

The spelling of 12133890 in words is "twelve million, one hundred thirty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 4649 9298 13947 23245 27894 41841 46490 69735 83682 134821 139470 209205 269642 404463 418410 674105 808926 1213389 1348210 2022315 2426778 4044630 6066945 12133890