Search a number
-
+
12264004 = 221721032
BaseRepresentation
bin101110110010…
…001001000100
3212002002001101
4232302021010
511114422004
61114505444
7206146054
oct56621104
925062041
1012264004
116a17145
124135284
13270520c
1418b3564
151123ba4
hexbb2244

12264004 has 27 divisors (see below), whose sum is σ = 23022237. Its totient is φ = 5715264.

The previous prime is 12263981. The next prime is 12264011. The reversal of 12264004 is 40046221.

The square root of 12264004 is 3502.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9548100 + 2715904 = 3090^2 + 1648^2 .

It is a super-2 number, since 2×122640042 = 300811588224032, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 119017 + ... + 119119.

Almost surely, 212264004 is an apocalyptic number.

12264004 is the 3502-nd square number.

It is an amenable number.

12264004 is a deficient number, since it is larger than the sum of its proper divisors (10758233).

12264004 is a wasteful number, since it uses less digits than its factorization.

12264004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The cubic root of 12264004 is about 230.6096240756.

The spelling of 12264004 in words is "twelve million, two hundred sixty-four thousand, four".

Divisors: 1 2 4 17 34 68 103 206 289 412 578 1156 1751 3502 7004 10609 21218 29767 42436 59534 119068 180353 360706 721412 3066001 6132002 12264004