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12732993 = 3272132221
BaseRepresentation
bin110000100100…
…101001000001
3212221220101100
4300210221001
511224423433
61132525013
7213141300
oct60445101
925856340
1012732993
117207539
124320769
13283a820
141996437
1511b7b13
hexc24a41

12732993 has 36 divisors (see below), whose sum is σ = 23051028. Its totient is φ = 6713280.

The previous prime is 12732989. The next prime is 12733003. The reversal of 12732993 is 39923721.

It can be written as a sum of positive squares in 2 ways, for example, as 5049009 + 7683984 = 2247^2 + 2772^2 .

It is not a de Polignac number, because 12732993 - 22 = 12732989 is a prime.

It is a super-2 number, since 2×127329932 = 324258221476098, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12732493) 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, 4623 + ... + 6843.

Almost surely, 212732993 is an apocalyptic number.

12732993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12732993 is a deficient number, since it is larger than the sum of its proper divisors (10318035).

12732993 is a wasteful number, since it uses less digits than its factorization.

12732993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2244 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 12732993 is about 3568.3319632568. The cubic root of 12732993 is about 233.5125179184.

The spelling of 12732993 in words is "twelve million, seven hundred thirty-two thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 2221 5733 6663 15547 19989 28873 46641 86619 108829 139923 202111 259857 326487 606333 979461 1414777 1818999 4244331 12732993