Search a number
-
+
18093100 = 22521729367
BaseRepresentation
bin100010100000…
…1010000101100
31021001020001211
41011001100230
514112434400
61443444204
7306534364
oct105012054
937036054
1018093100
11a238683
126086664
13399649c
14258d9a4
1518c5dba
hex114142c

18093100 has 72 divisors (see below), whose sum is σ = 43122240. Its totient is φ = 6558720.

The previous prime is 18093079. The next prime is 18093107. The reversal of 18093100 is 139081.

It is a super-2 number, since 2×180931002 = 654720535220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18093107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49117 + ... + 49483.

It is an arithmetic number, because the mean of its divisors is an integer number (598920).

Almost surely, 218093100 is an apocalyptic number.

18093100 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 18093100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21561120).

18093100 is an abundant number, since it is smaller than the sum of its proper divisors (25029140).

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

18093100 is a wasteful number, since it uses less digits than its factorization.

18093100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 18093100 is about 4253.5984765843. The cubic root of 18093100 is about 262.5251978835.

The spelling of 18093100 in words is "eighteen million, ninety-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 367 425 493 580 725 734 850 986 1450 1468 1700 1835 1972 2465 2900 3670 4930 6239 7340 9175 9860 10643 12325 12478 18350 21286 24650 24956 31195 36700 42572 49300 53215 62390 106430 124780 155975 180931 212860 266075 311950 361862 532150 623900 723724 904655 1064300 1809310 3618620 4523275 9046550 18093100