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13819432 = 2311532963
BaseRepresentation
bin110100101101…
…111000101000
3222000002200211
4310231320220
512014210212
61212110504
7225314614
oct64557050
928002624
1013819432
117889820
124765434
132b2b1a3
141b9a344
15132e9a7
hexd2de28

13819432 has 32 divisors (see below), whose sum is σ = 28810080. Its totient is φ = 6160960.

The previous prime is 13819427. The next prime is 13819433. The reversal of 13819432 is 23491831.

13819432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13819394 and 13819403.

It is not an unprimeable number, because it can be changed into a prime (13819433) 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, 3183 + ... + 6145.

It is an arithmetic number, because the mean of its divisors is an integer number (900315).

Almost surely, 213819432 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 13819432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405040).

13819432 is an abundant number, since it is smaller than the sum of its proper divisors (14990648).

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

13819432 is a wasteful number, since it uses less digits than its factorization.

13819432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 3029 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 13819432 is about 3717.4496634117. The cubic root of 13819432 is about 239.9735619025.

The spelling of 13819432 in words is "thirteen million, eight hundred nineteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 424 583 1166 2332 2963 4664 5926 11852 23704 32593 65186 130372 157039 260744 314078 628156 1256312 1727429 3454858 6909716 13819432