Search a number
-
+
18450560 = 275127227
BaseRepresentation
bin100011001100…
…0100010000000
31021201101102002
41012120202000
514210404220
61455243132
7312553502
oct106304200
937641362
1018450560
11a4621a7
1262194a8
133a900bb
142643d72
151946c75
hex1198880

18450560 has 64 divisors (see below), whose sum is σ = 44651520. Its totient is φ = 7289856.

The previous prime is 18450547. The next prime is 18450581. The reversal of 18450560 is 6505481.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81167 + ... + 81393.

It is an arithmetic number, because the mean of its divisors is an integer number (697680).

Almost surely, 218450560 is an apocalyptic number.

18450560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325760).

18450560 is an abundant number, since it is smaller than the sum of its proper divisors (26200960).

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

18450560 is a wasteful number, since it uses less digits than its factorization.

18450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 18450560 is about 4295.4115053159. The cubic root of 18450560 is about 264.2428130300.

The spelling of 18450560 in words is "eighteen million, four hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 227 254 320 454 508 635 640 908 1016 1135 1270 1816 2032 2270 2540 3632 4064 4540 5080 7264 8128 9080 10160 14528 16256 18160 20320 28829 29056 36320 40640 57658 72640 81280 115316 144145 145280 230632 288290 461264 576580 922528 1153160 1845056 2306320 3690112 4612640 9225280 18450560