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12609090 = 2325132829
BaseRepresentation
bin110000000110…
…011001000010
3212201121102100
4300012121002
511211442330
61130131230
7212114124
oct60063102
925647370
1012609090
11713243a
124280b16
1327c6300
141963214
151191060
hexc06642

12609090 has 72 divisors (see below), whose sum is σ = 35542260. Its totient is φ = 3100032.

The previous prime is 12609073. The next prime is 12609097. The reversal of 12609090 is 9090621.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1580049 + 11029041 = 1257^2 + 3321^2 .

12609090 is a modest number, since divided by 9090 gives 1260 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12609097) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14796 + ... + 15624.

Almost surely, 212609090 is an apocalyptic number.

12609090 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 12609090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17771130).

12609090 is an abundant number, since it is smaller than the sum of its proper divisors (22933170).

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

12609090 is a wasteful number, since it uses less digits than its factorization.

12609090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 12609090 is about 3550.9280477081. The cubic root of 12609090 is about 232.7526217043.

The spelling of 12609090 in words is "twelve million, six hundred nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 829 845 1014 1170 1521 1658 1690 2487 2535 3042 4145 4974 5070 7461 7605 8290 10777 12435 14922 15210 21554 24870 32331 37305 53885 64662 74610 96993 107770 140101 161655 193986 280202 323310 420303 484965 700505 840606 969930 1260909 1401010 2101515 2521818 4203030 6304545 12609090