Search a number
13251024 = 2432175413
BaseRepresentation
bin110010100011…
…000111010000
3220221012222200
4302203013100
511343013044
61152003200
7220426503
oct62430720
926835880
1013251024
117530766
124530500
13298c557
141a8d13a
15126b369
hexca31d0

13251024 has 60 divisors (see below), whose sum is σ = 39273156. Its totient is φ = 4156416.

The previous prime is 13251023. The next prime is 13251031. The reversal of 13251024 is 42015231.

13251024 is a `hidden beast` number, since 132 + 510 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6594624 + 6656400 = 2568^2 + 2580^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13250988 and 13251006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13251023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259 + ... + 5154.

Almost surely, 213251024 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 13251024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19636578).

13251024 is an abundant number, since it is smaller than the sum of its proper divisors (26022132).

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

13251024 is a wasteful number, since it uses less digits than its factorization.

13251024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13251024 is about 3640.1955991402. The cubic root of 13251024 is about 236.6372702583.

Adding to 13251024 its reverse (42015231), we get a palindrome (55266255).

The spelling of 13251024 in words is "thirteen million, two hundred fifty-one thousand, twenty-four".