Search a number
-
+
18360840 = 2335198053
BaseRepresentation
bin100011000001…
…0101000001000
31021112211100010
41012002220020
514200021330
61453311520
7312031101
oct106025010
937484303
1018360840
11a400853
1261955a0
133a5b304
14261d3a8
15192a3b0
hex1182a08

18360840 has 64 divisors (see below), whose sum is σ = 57988800. Its totient is φ = 4637952.

The previous prime is 18360827. The next prime is 18360841. The reversal of 18360840 is 4806381.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18360798 and 18360807.

It is not an unprimeable number, because it can be changed into a prime (18360841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1747 + ... + 6306.

It is an arithmetic number, because the mean of its divisors is an integer number (906075).

Almost surely, 218360840 is an apocalyptic number.

18360840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18360840 is an abundant number, since it is smaller than the sum of its proper divisors (39627960).

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

18360840 is a wasteful number, since it uses less digits than its factorization.

18360840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8086 (or 8082 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 18360840 is about 4284.9550756105. The cubic root of 18360840 is about 263.8138035110.

The spelling of 18360840 in words is "eighteen million, three hundred sixty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 8053 16106 24159 32212 40265 48318 64424 80530 96636 120795 153007 161060 193272 241590 306014 322120 459021 483180 612028 765035 918042 966360 1224056 1530070 1836084 2295105 3060140 3672168 4590210 6120280 9180420 18360840