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12633621 = 3721113601
BaseRepresentation
bin110000001100…
…011000010101
3212202212001220
4300030120111
511213233441
61130440553
7212245500
oct60143025
925685056
1012633621
117149910
124293159
132804520
14196c137
151198466
hexc0c615

12633621 has 48 divisors (see below), whose sum is σ = 23059008. Its totient is φ = 6048000.

The previous prime is 12633581. The next prime is 12633623.

It is a happy number.

12633621 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12633621 - 29 = 12633109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12633591 and 12633600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12633623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20721 + ... + 21321.

It is an arithmetic number, because the mean of its divisors is an integer number (480396).

Almost surely, 212633621 is an apocalyptic number.

12633621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12633621 is a deficient number, since it is larger than the sum of its proper divisors (10425387).

12633621 is a wasteful number, since it uses less digits than its factorization.

12633621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 635 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 12633621 is about 3554.3805367462. The cubic root of 12633621 is about 232.9034640952.

It can be divided in two parts, 126336 and 21, that multiplied together give a triangular number (2653056 = T2303).

The spelling of 12633621 in words is "twelve million, six hundred thirty-three thousand, six hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 601 637 1001 1617 1803 1911 3003 4207 6611 7007 7813 12621 19833 21021 23439 29449 46277 54691 85943 88347 138831 164073 257829 323939 382837 601601 971817 1148511 1804803 4211207 12633621