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13728260 = 22571319397
BaseRepresentation
bin110100010111…
…101000000100
3221211110122002
4310113220010
512003301020
61210124432
7224455040
oct64275004
927743562
1013728260
117827277
124720718
132ac8840
141b75020
151312975
hexd17a04

13728260 has 96 divisors (see below), whose sum is σ = 37443840. Its totient is φ = 4105728.

The previous prime is 13728259. The next prime is 13728269. The reversal of 13728260 is 6282731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13728269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34382 + ... + 34778.

It is an arithmetic number, because the mean of its divisors is an integer number (390040).

Almost surely, 213728260 is an apocalyptic number.

13728260 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 13728260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18721920).

13728260 is an abundant number, since it is smaller than the sum of its proper divisors (23715580).

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

13728260 is a wasteful number, since it uses less digits than its factorization.

13728260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 13728260 is about 3705.1666629181. The cubic root of 13728260 is about 239.4446650782. Note that the first 3 decimals are identical.

The spelling of 13728260 in words is "thirteen million, seven hundred twenty-eight thousand, two hundred sixty".