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18730000 = 24541873
BaseRepresentation
bin100011101110…
…0110000010000
31022020120201201
41013130300100
514243330000
61505240544
7315126262
oct107346020
938216651
1018730000
11a633143
126333154
133b5a353
1426b7b32
15199e96a
hex11dcc10

18730000 has 50 divisors (see below), whose sum is σ = 45371414. Its totient is φ = 7488000.

The previous prime is 18729979. The next prime is 18730001. The reversal of 18730000 is 3781.

It can be written as a sum of positive squares in 5 ways, for example, as 13046544 + 5683456 = 3612^2 + 2384^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 18730000.

It is not an unprimeable number, because it can be changed into a prime (18730001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9064 + ... + 10936.

Almost surely, 218730000 is an apocalyptic number.

18730000 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 18730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22685707).

18730000 is an abundant number, since it is smaller than the sum of its proper divisors (26641414).

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

18730000 is an equidigital number, since it uses as much as digits as its factorization.

18730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 18730000 is about 4327.8170016765. The cubic root of 18730000 is about 265.5701501510.

Adding to 18730000 its reverse (3781), we get a palindrome (18733781).

The spelling of 18730000 in words is "eighteen million, seven hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1873 2000 2500 3746 5000 7492 9365 10000 14984 18730 29968 37460 46825 74920 93650 149840 187300 234125 374600 468250 749200 936500 1170625 1873000 2341250 3746000 4682500 9365000 18730000