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13056960 = 263572967
BaseRepresentation
bin110001110011…
…101111000000
3220120100210010
4301303233000
511320310320
61143504520
7215660640
oct61635700
926510703
1013056960
117408984
124458140
132922117
141a3c520
15122dae0
hexc73bc0

13056960 has 224 divisors, whose sum is σ = 49743360. Its totient is φ = 2838528.

The previous prime is 13056943. The next prime is 13056973. The reversal of 13056960 is 6965031.

It is a happy number.

13056960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194847 + ... + 194913.

Almost surely, 213056960 is an apocalyptic number.

13056960 is a gapful number since it is divisible by the number (10) 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 13056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24871680).

13056960 is an abundant number, since it is smaller than the sum of its proper divisors (36686400).

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

13056960 is a wasteful number, since it uses less digits than its factorization.

13056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 13056960 is about 3613.4415727946. The cubic root of 13056960 is about 235.4763838724.

The spelling of 13056960 in words is "thirteen million, fifty-six thousand, nine hundred sixty".