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13300326 = 23213113503
BaseRepresentation
bin110010101111…
…001001100110
3221000201121200
4302233021212
511401102301
61153023330
7221023314
oct62571146
927021550
1013300326
117564806
124554b46
1329a8b20
141aa30b4
15127ac86
hexcaf266

13300326 has 48 divisors (see below), whose sum is σ = 31370976. Its totient is φ = 4048128.

The previous prime is 13300319. The next prime is 13300327. The reversal of 13300326 is 62300331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13300299 and 13300308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300327) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26191 + ... + 26693.

It is an arithmetic number, because the mean of its divisors is an integer number (653562).

Almost surely, 213300326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685488).

13300326 is an abundant number, since it is smaller than the sum of its proper divisors (18070650).

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

13300326 is a wasteful number, since it uses less digits than its factorization.

13300326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 13300326 is about 3646.9612007807. The cubic root of 13300326 is about 236.9303860062.

Adding to 13300326 its reverse (62300331), we get a palindrome (75600657).

The spelling of 13300326 in words is "thirteen million, three hundred thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 503 678 1006 1017 1469 1509 2034 2938 3018 4407 4527 6539 8814 9054 13078 13221 19617 26442 39234 56839 58851 113678 117702 170517 341034 511551 738907 1023102 1477814 2216721 4433442 6650163 13300326