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12135090 = 2351123343
BaseRepresentation
bin101110010010…
…101010110010
3211211112012210
4232102222302
511101310330
61112032550
7205101162
oct56225262
924745183
1012135090
116939300
124092756
13268b636
14187c5a2
1510ea8b0
hexb92ab2

12135090 has 48 divisors (see below), whose sum is σ = 32022144. Its totient is φ = 2940960.

The previous prime is 12135041. The next prime is 12135103. The reversal of 12135090 is 9053121.

12135090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1959 + ... + 5301.

It is an arithmetic number, because the mean of its divisors is an integer number (667128).

Almost surely, 212135090 is an apocalyptic number.

12135090 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 12135090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16011072).

12135090 is an abundant number, since it is smaller than the sum of its proper divisors (19887054).

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

12135090 is a wasteful number, since it uses less digits than its factorization.

12135090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 12135090 is about 3483.5456075671. The cubic root of 12135090 is about 229.7987527589.

The spelling of 12135090 in words is "twelve million, one hundred thirty-five thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3343 3630 6686 10029 16715 20058 33430 36773 50145 73546 100290 110319 183865 220638 367730 404503 551595 809006 1103190 1213509 2022515 2427018 4045030 6067545 12135090