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13170828 = 22311113883
BaseRepresentation
bin110010001111…
…100010001100
3220210010222110
4302033202030
511332431303
61150144020
7216643626
oct62174214
926703873
1013170828
117486490
1244b2010
132961bb8
141a6bc16
151252703
hexc8f88c

13170828 has 48 divisors (see below), whose sum is σ = 33860736. Its totient is φ = 3951360.

The previous prime is 13170823. The next prime is 13170851. The reversal of 13170828 is 82807131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13170795 and 13170804.

It is not an unprimeable number, because it can be changed into a prime (13170823) 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 15 ways as a sum of consecutive naturals, for example, 14475 + ... + 15357.

It is an arithmetic number, because the mean of its divisors is an integer number (705432).

Almost surely, 213170828 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 13170828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16930368).

13170828 is an abundant number, since it is smaller than the sum of its proper divisors (20689908).

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

13170828 is a wasteful number, since it uses less digits than its factorization.

13170828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 13170828 is about 3629.1635399910. The cubic root of 13170828 is about 236.1589229292.

Adding to 13170828 its reverse (82807131), we get a palindrome (95977959).

The spelling of 13170828 in words is "thirteen million, one hundred seventy thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 883 1243 1356 1766 2486 2649 3532 3729 4972 5298 7458 9713 10596 14916 19426 29139 38852 58278 99779 116556 199558 299337 399116 598674 1097569 1197348 2195138 3292707 4390276 6585414 13170828