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20461320 = 23325115167
BaseRepresentation
bin100111000001…
…1011100001000
31102111112122200
41032003130020
520214230240
62010320200
7335626665
oct116033410
942445580
1020461320
1110605990
126a29060
1343153b9
142a08a6c
151be2930
hex1383708

20461320 has 96 divisors (see below), whose sum is σ = 72558720. Its totient is φ = 4959360.

The previous prime is 20461307. The next prime is 20461321. The reversal of 20461320 is 2316402.

It is a happy number.

It is a super-2 number, since 2×204613202 = 837331232284800, 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 = 20461293 and 20461302.

It is not an unprimeable number, because it can be changed into a prime (20461321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1377 + ... + 6543.

It is an arithmetic number, because the mean of its divisors is an integer number (755820).

Almost surely, 220461320 is an apocalyptic number.

20461320 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 20461320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36279360).

20461320 is an abundant number, since it is smaller than the sum of its proper divisors (52097400).

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

20461320 is a wasteful number, since it uses less digits than its factorization.

20461320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20461320 is about 4523.4190608432. The cubic root of 20461320 is about 273.5129429598.

Adding to 20461320 its reverse (2316402), we get a palindrome (22777722).

The spelling of 20461320 in words is "twenty million, four hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 5167 10334 15501 20668 25835 31002 41336 46503 51670 56837 62004 77505 93006 103340 113674 124008 155010 170511 186012 206680 227348 232515 284185 310020 341022 372024 454696 465030 511533 568370 620040 682044 852555 930060 1023066 1136740 1364088 1705110 1860120 2046132 2273480 2557665 3410220 4092264 5115330 6820440 10230660 20461320