Search a number
-
+
12296032 = 257173229
BaseRepresentation
bin101110111001…
…111101100000
3212010200222121
4232321331200
511121433112
61115314024
7206341330
oct56717540
925120877
1012296032
116a39211
12414b914
132716978
1418c10c0
15112d407
hexbb9f60

12296032 has 48 divisors (see below), whose sum is σ = 29302560. Its totient is φ = 4958208.

The previous prime is 12296027. The next prime is 12296033. The reversal of 12296032 is 23069221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12295988 and 12296006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12296033) 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, 2194 + ... + 5422.

It is an arithmetic number, because the mean of its divisors is an integer number (610470).

Almost surely, 212296032 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 12296032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651280).

12296032 is an abundant number, since it is smaller than the sum of its proper divisors (17006528).

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

12296032 is a wasteful number, since it uses less digits than its factorization.

12296032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 12296032 is about 3506.5698338975. The cubic root of 12296032 is about 230.8101987209.

The spelling of 12296032 in words is "twelve million, two hundred ninety-six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3229 3808 6458 12916 22603 25832 45206 51664 54893 90412 103328 109786 180824 219572 361648 384251 439144 723296 768502 878288 1537004 1756576 3074008 6148016 12296032