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13732664 = 23111131381
BaseRepresentation
bin110100011000…
…101100111000
3221211200200012
4310120230320
512003421124
61210201052
7224503631
oct64305470
927750605
1013732664
11782a610
124723188
132aca84a
141b76888
151313e0e
hexd18b38

13732664 has 32 divisors (see below), whose sum is σ = 28358640. Its totient is φ = 6182400.

The previous prime is 13732657. The next prime is 13732669. The reversal of 13732664 is 46623731.

It is a self number, because there is not a number n which added to its sum of digits gives 13732664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13732669) 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 7 ways as a sum of consecutive naturals, for example, 9254 + ... + 10634.

Almost surely, 213732664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13732664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14179320).

13732664 is an abundant number, since it is smaller than the sum of its proper divisors (14625976).

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

13732664 is a wasteful number, since it uses less digits than its factorization.

13732664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1507 counting only the distinct ones).

The product of its digits is 18144, while the sum is 32.

The square root of 13732664 is about 3705.7609205128. The cubic root of 13732664 is about 239.4702668069.

The spelling of 13732664 in words is "thirteen million, seven hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 113 226 452 904 1243 1381 2486 2762 4972 5524 9944 11048 15191 30382 60764 121528 156053 312106 624212 1248424 1716583 3433166 6866332 13732664