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13002444 = 22367313
BaseRepresentation
bin110001100110…
…011011001100
3220110121000000
4301212123030
511312034234
61142404300
7215343000
oct61463314
926417000
1013002444
117380a24
124430690
132903370
141a26700
15121c899
hexc666cc

13002444 has 168 divisors, whose sum is σ = 42845600. Its totient is φ = 3429216.

The previous prime is 13002439. The next prime is 13002463. The reversal of 13002444 is 44420031.

13002444 is digitally balanced in base 2 and base 4, 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1000182 + ... + 1000194.

Almost surely, 213002444 is an apocalyptic number.

13002444 is a gapful number since it is divisible by the number (14) 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 13002444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21422800).

13002444 is an abundant number, since it is smaller than the sum of its proper divisors (29843156).

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

13002444 is an equidigital number, since it uses as much as digits as its factorization.

13002444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 13002444 is about 3605.8901813561. The cubic root of 13002444 is about 235.1482028795.

Adding to 13002444 its reverse (44420031), we get a palindrome (57422475).

The spelling of 13002444 in words is "thirteen million, two thousand, four hundred forty-four".