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12338190 = 233545697
BaseRepresentation
bin101111000100…
…010000001110
3212012211211000
4233010100032
511124310230
61120241130
7206605254
oct57042016
925184730
1012338190
116a67957
1241701a6
13272cc07
1418d25d4
15113ab60
hexbc440e

12338190 has 32 divisors (see below), whose sum is σ = 32902560. Its totient is φ = 3290112.

The previous prime is 12338129. The next prime is 12338191. The reversal of 12338190 is 9183321.

It is a super-2 number, since 2×123381902 = 304461864952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12338191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22579 + ... + 23118.

It is an arithmetic number, because the mean of its divisors is an integer number (1028205).

Almost surely, 212338190 is an apocalyptic number.

12338190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12338190 is an abundant number, since it is smaller than the sum of its proper divisors (20564370).

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

12338190 is a wasteful number, since it uses less digits than its factorization.

12338190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45713 (or 45707 counting only the distinct ones).

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

The square root of 12338190 is about 3512.5759778260. The cubic root of 12338190 is about 231.0736820104.

The spelling of 12338190 in words is "twelve million, three hundred thirty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 45697 91394 137091 228485 274182 411273 456970 685455 822546 1233819 1370910 2056365 2467638 4112730 6169095 12338190