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20318940 = 22325157719
BaseRepresentation
bin100110110000…
…0101011011100
31102020022100100
41031200223130
520200201230
62003301100
7334464615
oct115405334
942208310
1020318940
1110518a14
12697a790
134295655
1429acc0c
151bb5660
hex1360adc

20318940 has 72 divisors (see below), whose sum is σ = 62112960. Its totient is φ = 5376384.

The previous prime is 20318939. The next prime is 20318953. The reversal of 20318940 is 4981302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27901 + ... + 28619.

It is an arithmetic number, because the mean of its divisors is an integer number (862680).

Almost surely, 220318940 is an apocalyptic number.

20318940 is a gapful number since it is divisible by the number (20) 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 20318940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31056480).

20318940 is an abundant number, since it is smaller than the sum of its proper divisors (41794020).

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

20318940 is a wasteful number, since it uses less digits than its factorization.

20318940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20318940 is about 4507.6534915630. The cubic root of 20318940 is about 272.8770528781.

The spelling of 20318940 in words is "twenty million, three hundred eighteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 719 785 942 1413 1438 1570 1884 2157 2355 2826 2876 3140 3595 4314 4710 5652 6471 7065 7190 8628 9420 10785 12942 14130 14380 21570 25884 28260 32355 43140 64710 112883 129420 225766 338649 451532 564415 677298 1015947 1128830 1354596 1693245 2031894 2257660 3386490 4063788 5079735 6772980 10159470 20318940