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12633964 = 227273883
BaseRepresentation
bin110000001100…
…011101101100
3212202212112121
4300030131230
511213241324
61130442324
7212246500
oct60143554
925685477
1012633964
11714a0a2
1242933a4
132804725
14196c300
1511985e4
hexc0c76c

12633964 has 36 divisors (see below), whose sum is σ = 26100984. Its totient is φ = 5334336.

The previous prime is 12633961. The next prime is 12633977. The reversal of 12633964 is 46933621.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12633961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13867 + ... + 14749.

Almost surely, 212633964 is an apocalyptic number.

12633964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12633964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13050492).

12633964 is an abundant number, since it is smaller than the sum of its proper divisors (13467020).

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

12633964 is a wasteful number, since it uses less digits than its factorization.

12633964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 965 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The square root of 12633964 is about 3554.4287867392. The cubic root of 12633964 is about 232.9055718352.

The spelling of 12633964 in words is "twelve million, six hundred thirty-three thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 292 511 883 1022 1766 2044 3532 3577 6181 7154 12362 14308 24724 43267 64459 86534 128918 173068 257836 451213 902426 1804852 3158491 6316982 12633964