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13221136 = 242337971
BaseRepresentation
bin110010011011…
…110100010000
3220212200222201
4302123310100
511341034021
61151212544
7220243405
oct62336420
926780881
1013221136
117510265
124517154
13297ba76
141a822ac
151262591
hexc9bd10

13221136 has 40 divisors (see below), whose sum is σ = 27480384. Its totient is φ = 6145920.

The previous prime is 13221101. The next prime is 13221137. The reversal of 13221136 is 63112231.

13221136 is nontrivially palindromic in base 12.

It is not an unprimeable number, because it can be changed into a prime (13221137) 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, 13131 + ... + 14101.

Almost surely, 213221136 is an apocalyptic number.

13221136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740192).

13221136 is an abundant number, since it is smaller than the sum of its proper divisors (14259248).

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

13221136 is a wasteful number, since it uses less digits than its factorization.

13221136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1033 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 13221136 is about 3636.0880077358. The cubic root of 13221136 is about 236.4592226626.

Adding to 13221136 its reverse (63112231), we get a palindrome (76333367).

The spelling of 13221136 in words is "thirteen million, two hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 368 592 851 971 1702 1942 3404 3884 6808 7768 13616 15536 22333 35927 44666 71854 89332 143708 178664 287416 357328 574832 826321 1652642 3305284 6610568 13221136