Search a number
-
+
18059264 = 2124409
BaseRepresentation
bin100010011100…
…1000000000000
31020222111122122
41010321000000
514110344024
61443023412
7306333626
oct104710000
936874578
1018059264
11a215213
12606ab68
133983c72
142581516
1518bad5e
hex1139000

18059264 has 26 divisors (see below), whose sum is σ = 36122310. Its totient is φ = 9027584.

The previous prime is 18059263. The next prime is 18059303. The reversal of 18059264 is 46295081.

It can be written as a sum of positive squares in only one way, i.e., 11505664 + 6553600 = 3392^2 + 2560^2 .

It is a super-2 number, since 2×180592642 = 652274032443392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18059263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1892 + ... + 6300.

Almost surely, 218059264 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 18059264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18061155).

18059264 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

18059264 is an frugal number, since it uses more digits than its factorization.

18059264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 18059264 is about 4249.6192770647. The cubic root of 18059264 is about 262.3614458525.

The spelling of 18059264 in words is "eighteen million, fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 4409 8818 17636 35272 70544 141088 282176 564352 1128704 2257408 4514816 9029632 18059264