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20682860 = 22511412293
BaseRepresentation
bin100111011100…
…1100001101100
31102220210112212
41032321201230
520243322420
62015145552
7340541612
oct116714154
942823485
1020682860
1110747380
126b152b8
1343921a3
142a656b2
151c383c5
hex13b986c

20682860 has 48 divisors (see below), whose sum is σ = 48559392. Its totient is φ = 7334400.

The previous prime is 20682847. The next prime is 20682869. The reversal of 20682860 is 6828602.

It is a happy number.

It is a super-3 number, since 3×206828603 (a number of 23 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20682869) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7874 + ... + 10166.

It is an arithmetic number, because the mean of its divisors is an integer number (1011654).

Almost surely, 220682860 is an apocalyptic number.

20682860 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 20682860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24279696).

20682860 is an abundant number, since it is smaller than the sum of its proper divisors (27876532).

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

20682860 is a wasteful number, since it uses less digits than its factorization.

20682860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 20682860 is about 4547.8412461299. The cubic root of 20682860 is about 274.4965333674.

The spelling of 20682860 in words is "twenty million, six hundred eighty-two thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 2293 4510 4586 9020 9172 11465 22930 25223 45860 50446 94013 100892 126115 188026 252230 376052 470065 504460 940130 1034143 1880260 2068286 4136572 5170715 10341430 20682860