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13320032 = 251179479
BaseRepresentation
bin110010110011…
…111101100000
3221001201122112
4302303331200
511402220112
61153254452
7221134625
oct62637540
927051575
1013320032
1175785a0
124564428
1329b4a9b
141aaa34c
151281a22
hexcb3f60

13320032 has 48 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 5965440.

The previous prime is 13320029. The next prime is 13320071. The reversal of 13320032 is 23002331.

It is a junction number, because it is equal to n+sod(n) for n = 13319989 and 13320016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27569 + ... + 28047.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 213320032 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 13320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

13320032 is an abundant number, since it is smaller than the sum of its proper divisors (15710368).

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

13320032 is a wasteful number, since it uses less digits than its factorization.

13320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 13320032 is about 3649.6619021493. The cubic root of 13320032 is about 237.0473416913.

Adding to 13320032 its reverse (23002331), we get a palindrome (36322363).

The spelling of 13320032 in words is "thirteen million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 158 176 316 352 479 632 869 958 1264 1738 1916 2528 3476 3832 5269 6952 7664 10538 13904 15328 21076 27808 37841 42152 75682 84304 151364 168608 302728 416251 605456 832502 1210912 1665004 3330008 6660016 13320032