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13317328 = 241971617
BaseRepresentation
bin110010110011…
…010011010000
3221001120221101
4302303103100
511402123303
61153234144
7221124013
oct62632320
927046841
1013317328
117576562
124562954
1329b379b
141aa937a
151280d1d
hexcb34d0

13317328 has 40 divisors (see below), whose sum is σ = 27587520. Its totient is φ = 6209280.

The previous prime is 13317323. The next prime is 13317349. The reversal of 13317328 is 82371331.

It is a super-3 number, since 3×133173283 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13317296 and 13317305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13317323) 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, 21276 + ... + 21892.

It is an arithmetic number, because the mean of its divisors is an integer number (689688).

Almost surely, 213317328 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 13317328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13793760).

13317328 is an abundant number, since it is smaller than the sum of its proper divisors (14270192).

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

13317328 is a wasteful number, since it uses less digits than its factorization.

13317328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 709 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 13317328 is about 3649.2914380740. The cubic root of 13317328 is about 237.0313002036.

Adding to 13317328 its reverse (82371331), we get a palindrome (95688659).

The spelling of 13317328 in words is "thirteen million, three hundred seventeen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 71 76 142 152 284 304 568 617 1136 1234 1349 2468 2698 4936 5396 9872 10792 11723 21584 23446 43807 46892 87614 93784 175228 187568 350456 700912 832333 1664666 3329332 6658664 13317328