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18990900 = 22325221101
BaseRepresentation
bin100100001110…
…0011100110100
31022201211121200
41020130130310
514330202100
61515012500
7320264025
oct110343464
938654550
1018990900
11a7a1165
12643a130
133c1c026
142744c4c
151a01e00
hex121c734

18990900 has 54 divisors (see below), whose sum is σ = 59528742. Its totient is φ = 5064000.

The previous prime is 18990883. The next prime is 18990901. The reversal of 18990900 is 909981.

It can be written as a sum of positive squares in 3 ways, for example, as 224676 + 18766224 = 474^2 + 4332^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18990901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9651 + ... + 11450.

Almost surely, 218990900 is an apocalyptic number.

18990900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18990900 is an abundant number, since it is smaller than the sum of its proper divisors (40537842).

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

18990900 is a wasteful number, since it uses less digits than its factorization.

18990900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21121 (or 21111 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 18990900 is about 4357.8549769353. The cubic root of 18990900 is about 266.7975572710.

The spelling of 18990900 in words is "eighteen million, nine hundred ninety 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 21101 42202 63303 84404 105505 126606 189909 211010 253212 316515 379818 422020 527525 633030 759636 949545 1055050 1266060 1582575 1899090 2110100 3165150 3798180 4747725 6330300 9495450 18990900