Search a number
-
+
13253632 = 2107432
BaseRepresentation
bin110010100011…
…110000000000
3220221100120021
4302203300000
511343104012
61152023224
7220440220
oct62436000
926840507
1013253632
117532717
124531b14
1329907b2
141a90080
15126c007
hexca3c00

13253632 has 66 divisors (see below), whose sum is σ = 30999768. Its totient is φ = 5548032.

The previous prime is 13253627. The next prime is 13253633. The reversal of 13253632 is 23635231.

It is a happy number.

It is a super-2 number, since 2×132536322 = 351317522382848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13253597 and 13253606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13253633) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 308203 + ... + 308245.

Almost surely, 213253632 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 13253632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499884).

13253632 is an abundant number, since it is smaller than the sum of its proper divisors (17746136).

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

13253632 is an frugal number, since it uses more digits than its factorization.

13253632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 52 counting only the distinct ones).

The product of its digits is 3240, while the sum is 25.

The square root of 13253632 is about 3640.5538040249. The cubic root of 13253632 is about 236.6527938263.

Adding to 13253632 its reverse (23635231), we get a palindrome (36888863).

The spelling of 13253632 in words is "thirteen million, two hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 448 512 602 688 896 1024 1204 1376 1792 1849 2408 2752 3584 3698 4816 5504 7168 7396 9632 11008 12943 14792 19264 22016 25886 29584 38528 44032 51772 59168 77056 103544 118336 154112 207088 236672 308224 414176 473344 828352 946688 1656704 1893376 3313408 6626816 13253632