Search a number
-
+
460220904 = 2332111344699
BaseRepresentation
bin11011011011100…
…110100111101000
31012001222122101200
4123123212213220
51420304032104
6113400044200
714255545623
oct3333464750
91161878350
10460220904
11216867860
1210a163660
1374467c80
144519cdba
152a60bb39
hex1b6e69e8

460220904 has 96 divisors (see below), whose sum is σ = 1464372000. Its totient is φ = 128730240.

The previous prime is 460220881. The next prime is 460220909. The reversal of 460220904 is 409022064.

It is not an unprimeable number, because it can be changed into a prime (460220909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12054 + ... + 32645.

It is an arithmetic number, because the mean of its divisors is an integer number (15253875).

Almost surely, 2460220904 is an apocalyptic number.

460220904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

460220904 is an abundant number, since it is smaller than the sum of its proper divisors (1004151096).

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

460220904 is a wasteful number, since it uses less digits than its factorization.

460220904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44735 (or 44728 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 460220904 is about 21452.7598224564. The cubic root of 460220904 is about 772.0678124186.

Adding to 460220904 its reverse (409022064), we get a palindrome (869242968).

The spelling of 460220904 in words is "four hundred sixty million, two hundred twenty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 44699 89398 134097 178796 268194 357592 402291 491689 536388 581087 804582 983378 1072776 1162174 1475067 1609164 1743261 1966756 2324348 2950134 3218328 3486522 3933512 4425201 4648696 5229783 5900268 6391957 6973044 8850402 10459566 11800536 12783914 13946088 17700804 19175871 20919132 25567828 35401608 38351742 41838264 51135656 57527613 76703484 115055226 153406968 230110452 460220904