Search a number
-
+
18399200 = 2552109211
BaseRepresentation
bin100011000101…
…1111111100000
31021121202221212
41012023333200
514202233300
61454205252
7312250661
oct106137740
937552855
1018399200
11a427656
1261b3828
133a72901
14262d368
151936935
hex118bfe0

18399200 has 72 divisors (see below), whose sum is σ = 45543960. Its totient is φ = 7257600.

The previous prime is 18399197. The next prime is 18399203. The reversal of 18399200 is 299381.

It is an interprime number because it is at equal distance from previous prime (18399197) and next prime (18399203).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18399203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87095 + ... + 87305.

It is an arithmetic number, because the mean of its divisors is an integer number (632555).

Almost surely, 218399200 is an apocalyptic number.

18399200 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 18399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22771980).

18399200 is an abundant number, since it is smaller than the sum of its proper divisors (27144760).

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

18399200 is a wasteful number, since it uses less digits than its factorization.

18399200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 18399200 is about 4289.4288664110. The cubic root of 18399200 is about 263.9973981990.

The spelling of 18399200 in words is "eighteen million, three hundred ninety-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 109 160 200 211 218 400 422 436 545 800 844 872 1055 1090 1688 1744 2110 2180 2725 3376 3488 4220 4360 5275 5450 6752 8440 8720 10550 10900 16880 17440 21100 21800 22999 33760 42200 43600 45998 84400 87200 91996 114995 168800 183992 229990 367984 459980 574975 735968 919960 1149950 1839920 2299900 3679840 4599800 9199600 18399200