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18396900 = 22325220441
BaseRepresentation
bin100011000101…
…1011011100100
31021121122210200
41012023123210
514202200100
61454150500
7312241164
oct106133344
937548720
1018396900
11a425955
1261b2430
133a71852
14262c5a4
151935e00
hex118b6e4

18396900 has 54 divisors (see below), whose sum is σ = 57666882. Its totient is φ = 4905600.

The previous prime is 18396893. The next prime is 18396947. The reversal of 18396900 is 969381.

It can be written as a sum of positive squares in 3 ways, for example, as 3326976 + 15069924 = 1824^2 + 3882^2 .

It is a super-2 number, since 2×183969002 = 676891859220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9321 + ... + 11120.

Almost surely, 218396900 is an apocalyptic number.

18396900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18396900 is an abundant number, since it is smaller than the sum of its proper divisors (39269982).

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

18396900 is a wasteful number, since it uses less digits than its factorization.

18396900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20461 (or 20451 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 18396900 is about 4289.1607570712. The cubic root of 18396900 is about 263.9863973708.

The spelling of 18396900 in words is "eighteen million, three hundred ninety-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 20441 40882 61323 81764 102205 122646 183969 204410 245292 306615 367938 408820 511025 613230 735876 919845 1022050 1226460 1533075 1839690 2044100 3066150 3679380 4599225 6132300 9198450 18396900