Search a number
-
+
18385700 = 2252533469
BaseRepresentation
bin100011000100…
…0101100100100
31021121002102212
41012020230210
514201320300
61454022552
7312163424
oct106105444
937532385
1018385700
11a4184a3
1261a7a58
133a69718
142628484
151932935
hex1188b24

18385700 has 36 divisors (see below), whose sum is σ = 40661460. Its totient is φ = 7213440.

The previous prime is 18385699. The next prime is 18385727. The reversal of 18385700 is 758381.

It can be written as a sum of positive squares in 6 ways, for example, as 1999396 + 16386304 = 1414^2 + 4048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3566 + ... + 7034.

It is an arithmetic number, because the mean of its divisors is an integer number (1129485).

Almost surely, 218385700 is an apocalyptic number.

18385700 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 18385700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20330730).

18385700 is an abundant number, since it is smaller than the sum of its proper divisors (22275760).

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

18385700 is a wasteful number, since it uses less digits than its factorization.

18385700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 18385700 is about 4287.8549415763. The cubic root of 18385700 is about 263.9328150126.

The spelling of 18385700 in words is "eighteen million, three hundred eighty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 3469 5300 6938 13876 17345 34690 69380 86725 173450 183857 346900 367714 735428 919285 1838570 3677140 4596425 9192850 18385700