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18864900 = 22345217137
BaseRepresentation
bin100011111110…
…1101100000100
31022111102210000
41013331230010
514312134100
61512201300
7316230465
oct107755404
938442700
1018864900
11a71552a
126399230
133ba6882
142710d6c
1519c9900
hex11fdb04

18864900 has 180 divisors, whose sum is σ = 65222388. Its totient is φ = 4700160.

The previous prime is 18864887. The next prime is 18864959. The reversal of 18864900 is 946881.

It is a happy number.

18864900 is a `hidden beast` number, since 1 + 8 + 8 + 649 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 46656 + 18818244 = 216^2 + 4338^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 137632 + ... + 137768.

Almost surely, 218864900 is an apocalyptic number.

18864900 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 18864900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32611194).

18864900 is an abundant number, since it is smaller than the sum of its proper divisors (46357488).

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

18864900 is a wasteful number, since it uses less digits than its factorization.

18864900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18864900 is about 4343.3742643249. The cubic root of 18864900 is about 266.2062018811.

It can be divided in two parts, 1886 and 4900, that added together give a triangular number (6786 = T116).

The spelling of 18864900 in words is "eighteen million, eight hundred sixty-four thousand, nine hundred".