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13226976 = 253107
BaseRepresentation
bin110010011101…
…001111100000
3220220000000000
4302131033200
511341230401
61151300000
7220266420
oct62351740
926800000
1013226976
117514694
12451a600
132981619
141a84480
151264186
hexc9d3e0

13226976 has 132 divisors (see below), whose sum is σ = 44640792. Its totient is φ = 3779136.

The previous prime is 13226921. The next prime is 13227023. The reversal of 13226976 is 67962231.

13226976 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (27216) is a multiple of the sum of its prime divisors (12).

13226976 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 13226976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 1889565 + ... + 1889571.

Almost surely, 213226976 is an apocalyptic number.

13226976 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 13226976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320396).

13226976 is an abundant number, since it is smaller than the sum of its proper divisors (31413816).

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

13226976 is an frugal number, since it uses more digits than its factorization.

13226976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 12 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 13226976 is about 3636.8909799443. The cubic root of 13226976 is about 236.4940335539.

The spelling of 13226976 in words is "thirteen million, two hundred twenty-six thousand, nine hundred seventy-six".