[go: up one dir, main page]

Search a number
-
+
12235328 = 26731881
BaseRepresentation
bin101110101011…
…001001000000
3212000121201022
4232223021000
511113012303
61114125012
7205666340
oct56531100
925017638
1012235328
1169a7646
124120768
1326c5151
1418a6d20
15111a438
hexbab240

12235328 has 56 divisors (see below), whose sum is σ = 28675584. Its totient is φ = 5068800.

The previous prime is 12235313. The next prime is 12235331. The reversal of 12235328 is 82353221.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 12235297 and 12235306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13448 + ... + 14328.

It is an arithmetic number, because the mean of its divisors is an integer number (512064).

Almost surely, 212235328 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 12235328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14337792).

12235328 is an abundant number, since it is smaller than the sum of its proper divisors (16440256).

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

12235328 is an equidigital number, since it uses as much as digits as its factorization.

12235328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 921 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 12235328 is about 3497.9033720216. The cubic root of 12235328 is about 230.4297447452.

Adding to 12235328 its reverse (82353221), we get a palindrome (94588549).

The spelling of 12235328 in words is "twelve million, two hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 881 992 1736 1762 1984 3472 3524 6167 6944 7048 12334 13888 14096 24668 27311 28192 49336 54622 56384 98672 109244 191177 197344 218488 382354 394688 436976 764708 873952 1529416 1747904 3058832 6117664 12235328