Search a number
-
+
18298120 = 2351771379
BaseRepresentation
bin100010111001…
…1010100001000
31021102122022011
41011303110020
514141014440
61452105304
7311350201
oct105632410
937378264
1018298120
11a368715
126165234
133a388b9
1426045a8
1519169ea
hex1173508

18298120 has 64 divisors (see below), whose sum is σ = 44323200. Its totient is φ = 6773760.

The previous prime is 18298117. The next prime is 18298123. The reversal of 18298120 is 2189281.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18298117) and next prime (18298123).

It is not an unprimeable number, because it can be changed into a prime (18298123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48091 + ... + 48469.

It is an arithmetic number, because the mean of its divisors is an integer number (692550).

Almost surely, 218298120 is an apocalyptic number.

18298120 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 18298120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22161600).

18298120 is an abundant number, since it is smaller than the sum of its proper divisors (26025080).

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

18298120 is a wasteful number, since it uses less digits than its factorization.

18298120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 18298120 is about 4277.6301850441. The cubic root of 18298120 is about 263.5130678467.

The spelling of 18298120 in words is "eighteen million, two hundred ninety-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 71 85 136 142 170 284 340 355 379 568 680 710 758 1207 1420 1516 1895 2414 2840 3032 3790 4828 6035 6443 7580 9656 12070 12886 15160 24140 25772 26909 32215 48280 51544 53818 64430 107636 128860 134545 215272 257720 269090 457453 538180 914906 1076360 1829812 2287265 3659624 4574530 9149060 18298120