Search a number
-
+
13209888 = 253373719
BaseRepresentation
bin110010011001…
…000100100000
3220212010120010
4302121010200
511340204023
61151044520
7220165536
oct62310440
926763503
1013209888
11750286a
124510740
132976903
141a7c156
15125e093
hexc99120

13209888 has 48 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 4283136.

The previous prime is 13209881. The next prime is 13209919. The reversal of 13209888 is 88890231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×132098882 = 349002281945088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13209881) 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, 1693 + ... + 5411.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 213209888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13209888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

13209888 is an abundant number, since it is smaller than the sum of its proper divisors (22412832).

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

13209888 is a wasteful number, since it uses less digits than its factorization.

13209888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 13209888 is about 3634.5409613870. The cubic root of 13209888 is about 236.3921470360.

The spelling of 13209888 in words is "thirteen million, two hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 3719 7438 11157 14876 22314 29752 44628 59504 89256 119008 137603 178512 275206 357024 412809 550412 825618 1100824 1651236 2201648 3302472 4403296 6604944 13209888