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18935140 = 2257211641
BaseRepresentation
bin100100000111…
…0110101100100
31022122000010111
41020032311210
514321411030
61513502404
7316642330
oct110166544
938560114
1018935140
11a763284
126411a04
133bcc833
14272c7c0
1519e062a
hex120ed64

18935140 has 48 divisors (see below), whose sum is σ = 45730944. Its totient is φ = 6451200.

The previous prime is 18935117. The next prime is 18935159. The reversal of 18935140 is 4153981.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29220 + ... + 29860.

It is an arithmetic number, because the mean of its divisors is an integer number (952728).

Almost surely, 218935140 is an apocalyptic number.

18935140 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 18935140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22865472).

18935140 is an abundant number, since it is smaller than the sum of its proper divisors (26795804).

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

18935140 is a wasteful number, since it uses less digits than its factorization.

18935140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 18935140 is about 4351.4526310187. The cubic root of 18935140 is about 266.5361826904.

The spelling of 18935140 in words is "eighteen million, nine hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 211 422 641 844 1055 1282 1477 2110 2564 2954 3205 4220 4487 5908 6410 7385 8974 12820 14770 17948 22435 29540 44870 89740 135251 270502 541004 676255 946757 1352510 1893514 2705020 3787028 4733785 9467570 18935140