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12045690 = 2325177873
BaseRepresentation
bin101101111100…
…110101111010
3211122222120200
4231330311322
511040430230
61110103030
7204246426
oct55746572
924588520
1012045690
116888118
12404aa76
132659a37
141857b86
1510ce160
hexb7cd7a

12045690 has 48 divisors (see below), whose sum is σ = 33165288. Its totient is φ = 3022848.

The previous prime is 12045689. The next prime is 12045697. The reversal of 12045690 is 9654021.

12045690 is a `hidden beast` number, since 120 + 456 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7969329 + 4076361 = 2823^2 + 2019^2 .

It is a super-2 number, since 2×120456902 = 290197295152200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12045697) 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, 2407 + ... + 5466.

Almost surely, 212045690 is an apocalyptic number.

12045690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12045690 is an abundant number, since it is smaller than the sum of its proper divisors (21119598).

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

12045690 is a wasteful number, since it uses less digits than its factorization.

12045690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7903 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12045690 is about 3470.6901331003. The cubic root of 12045690 is about 229.2330471432.

The spelling of 12045690 in words is "twelve million, forty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 7873 15746 23619 39365 47238 70857 78730 118095 133841 141714 236190 267682 354285 401523 669205 708570 803046 1204569 1338410 2007615 2409138 4015230 6022845 12045690