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13330960 = 245712347
BaseRepresentation
bin110010110110…
…101000010000
3221002021122021
4302312220100
511403042320
61153421224
7221211526
oct62665020
927067567
1013330960
117585825
12456a814
1329b9a56
141ab0316
151284daa
hexcb6a10

13330960 has 40 divisors (see below), whose sum is σ = 31444416. Its totient is φ = 5255040.

The previous prime is 13330957. The next prime is 13330969. The reversal of 13330960 is 6903331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4507 + ... + 6853.

Almost surely, 213330960 is an apocalyptic number.

13330960 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 13330960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15722208).

13330960 is an abundant number, since it is smaller than the sum of its proper divisors (18113456).

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

13330960 is a wasteful number, since it uses less digits than its factorization.

13330960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

The square root of 13330960 is about 3651.1587201873. The cubic root of 13330960 is about 237.1121499754.

The spelling of 13330960 in words is "thirteen million, three hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2347 2840 4694 5680 9388 11735 18776 23470 37552 46940 93880 166637 187760 333274 666548 833185 1333096 1666370 2666192 3332740 6665480 13330960