Search a number
-
+
20982720 = 2635111987
BaseRepresentation
bin101000000001…
…0101111000000
31110111000212210
41100002233000
520332421340
62025422120
7343231053
oct120025700
943430783
1020982720
11109316a0
12703a940
134468815
142b02a9a
151c97180
hex1402bc0

20982720 has 112 divisors (see below), whose sum is σ = 72713088. Its totient is φ = 5084160.

The previous prime is 20982683. The next prime is 20982733. The reversal of 20982720 is 2728902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

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, 9567 + ... + 11553.

It is an arithmetic number, because the mean of its divisors is an integer number (649224).

Almost surely, 220982720 is an apocalyptic number.

20982720 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 20982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36356544).

20982720 is an abundant number, since it is smaller than the sum of its proper divisors (51730368).

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

20982720 is a wasteful number, since it uses less digits than its factorization.

20982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 20982720 is about 4580.6899043703. The cubic root of 20982720 is about 275.8167235237.

The spelling of 20982720 in words is "twenty million, nine hundred eighty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 1987 2112 2640 3520 3974 5280 5961 7948 9935 10560 11922 15896 19870 21857 23844 29805 31792 39740 43714 47688 59610 63584 65571 79480 87428 95376 109285 119220 127168 131142 158960 174856 190752 218570 238440 262284 317920 327855 349712 381504 437140 476880 524568 635840 655710 699424 874280 953760 1049136 1311420 1398848 1748560 1907520 2098272 2622840 3497120 4196544 5245680 6994240 10491360 20982720