Search a number
-
+
20839840 = 255723809
BaseRepresentation
bin100111101111…
…1110110100000
31110012202212221
41033133312200
520313333330
62022400424
7342064360
oct117376640
943182787
1020839840
111084430a
126b90114
134418788
142aa69a0
151c69b7a
hex13dfda0

20839840 has 96 divisors (see below), whose sum is σ = 58786560. Its totient is φ = 6825984.

The previous prime is 20839829. The next prime is 20839867. The reversal of 20839840 is 4893802.

It is a junction number, because it is equal to n+sod(n) for n = 20839796 and 20839805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25356 + ... + 26164.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 220839840 is an apocalyptic number.

20839840 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 20839840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29393280).

20839840 is an abundant number, since it is smaller than the sum of its proper divisors (37946720).

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

20839840 is a wasteful number, since it uses less digits than its factorization.

20839840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 20839840 is about 4565.0673598535. The cubic root of 20839840 is about 275.1892471461.

The spelling of 20839840 in words is "twenty million, eight hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 809 920 1120 1288 1610 1618 1840 2576 3220 3236 3680 4045 5152 5663 6440 6472 8090 11326 12880 12944 16180 18607 22652 25760 25888 28315 32360 37214 45304 56630 64720 74428 90608 93035 113260 129440 130249 148856 181216 186070 226520 260498 297712 372140 453040 520996 595424 651245 744280 906080 1041992 1302490 1488560 2083984 2604980 2977120 4167968 5209960 10419920 20839840