Search a number
-
+
20683520 = 2851113113
BaseRepresentation
bin100111011100…
…1101100000000
31102220211110022
41032321230000
520243333040
62015153012
7340543544
oct116715400
942824408
1020683520
1110747920
126b15768
134392590
142a65a24
151c386b5
hex13b9b00

20683520 has 144 divisors (see below), whose sum is σ = 58720032. Its totient is φ = 6881280.

The previous prime is 20683493. The next prime is 20683529. The reversal of 20683520 is 2538602.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 20683520.

It is not an unprimeable number, because it can be changed into a prime (20683529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182984 + ... + 183096.

It is an arithmetic number, because the mean of its divisors is an integer number (407778).

Almost surely, 220683520 is an apocalyptic number.

20683520 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 20683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29360016).

20683520 is an abundant number, since it is smaller than the sum of its proper divisors (38036512).

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

20683520 is a wasteful number, since it uses less digits than its factorization.

20683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 20683520 is about 4547.9138074506. The cubic root of 20683520 is about 274.4994531084.

The spelling of 20683520 in words is "twenty million, six hundred eighty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 113 128 130 143 160 176 208 220 226 256 260 286 320 352 416 440 452 520 565 572 640 704 715 832 880 904 1040 1130 1144 1243 1280 1408 1430 1469 1664 1760 1808 2080 2260 2288 2486 2816 2860 2938 3328 3520 3616 4160 4520 4576 4972 5720 5876 6215 7040 7232 7345 8320 9040 9152 9944 11440 11752 12430 14080 14464 14690 16159 16640 18080 18304 19888 22880 23504 24860 28928 29380 32318 36160 36608 39776 45760 47008 49720 58760 64636 72320 79552 80795 91520 94016 99440 117520 129272 144640 159104 161590 183040 188032 198880 235040 258544 318208 323180 376064 397760 470080 517088 646360 795520 940160 1034176 1292720 1591040 1880320 2068352 2585440 4136704 5170880 10341760 20683520