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18520020 = 22325313319
BaseRepresentation
bin100011010100…
…1011111010100
31021211220200200
41012221133110
514220120040
61500540500
7313263141
oct106513724
937756620
1018520020
11a4aa402
126251730
133ab58bc
1426613c8
15195c630
hex11a97d4

18520020 has 72 divisors (see below), whose sum is σ = 58007040. Its totient is φ = 4777920.

The previous prime is 18520001. The next prime is 18520031. The reversal of 18520020 is 2002581.

It is a super-2 number, since 2×185200202 = 685982281600800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 18519975 and 18520002.

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 23 ways as a sum of consecutive naturals, for example, 3921 + ... + 7239.

Almost surely, 218520020 is an apocalyptic number.

18520020 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 18520020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29003520).

18520020 is an abundant number, since it is smaller than the sum of its proper divisors (39487020).

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

18520020 is a wasteful number, since it uses less digits than its factorization.

18520020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 18520020 is about 4303.4892819664. The cubic root of 18520020 is about 264.5739921613.

The spelling of 18520020 in words is "eighteen million, five hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 3319 5580 6638 9957 13276 16595 19914 29871 33190 39828 49785 59742 66380 99570 102889 119484 149355 199140 205778 298710 308667 411556 514445 597420 617334 926001 1028890 1234668 1543335 1852002 2057780 3086670 3704004 4630005 6173340 9260010 18520020