Search a number
-
+
18315264 = 211311271
BaseRepresentation
bin100010111011…
…1100000000000
31021110111211010
41011313200000
514142042024
61452320520
7311451162
oct105674000
937414733
1018315264
11a37a590
126173140
133a43646
14260a932
15191bb29
hex1177800

18315264 has 96 divisors (see below), whose sum is σ = 53464320. Its totient is φ = 5529600.

The previous prime is 18315257. The next prime is 18315301. The reversal of 18315264 is 46251381.

It is a tau number, because it is divible by the number of its divisors (96).

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, 67449 + ... + 67719.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 218315264 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 18315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732160).

18315264 is an abundant number, since it is smaller than the sum of its proper divisors (35149056).

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

18315264 is a wasteful number, since it uses less digits than its factorization.

18315264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 18315264 is about 4279.6336291790. The cubic root of 18315264 is about 263.5953396477.

The spelling of 18315264 in words is "eighteen million, three hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 271 352 384 512 528 542 704 768 813 1024 1056 1084 1408 1536 1626 2048 2112 2168 2816 2981 3072 3252 4224 4336 5632 5962 6144 6504 8448 8672 8943 11264 11924 13008 16896 17344 17886 22528 23848 26016 33792 34688 35772 47696 52032 67584 69376 71544 95392 104064 138752 143088 190784 208128 277504 286176 381568 416256 555008 572352 763136 832512 1144704 1526272 1665024 2289408 3052544 4578816 6105088 9157632 18315264