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20982280 = 23511431109
BaseRepresentation
bin101000000001…
…0101000001000
31110111000021111
41100002220020
520332413110
62025420104
7343226554
oct120025010
943430244
1020982280
1110931330
12703a634
134468567
142b02864
151c96e8a
hex1402a08

20982280 has 64 divisors (see below), whose sum is σ = 52747200. Its totient is φ = 7445760.

The previous prime is 20982277. The next prime is 20982281. The reversal of 20982280 is 8228902.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20982281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18366 + ... + 19474.

It is an arithmetic number, because the mean of its divisors is an integer number (824175).

Almost surely, 220982280 is an apocalyptic number.

20982280 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 20982280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26373600).

20982280 is an abundant number, since it is smaller than the sum of its proper divisors (31764920).

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

20982280 is a wasteful number, since it uses less digits than its factorization.

20982280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 20982280 is about 4580.6418764186. The cubic root of 20982280 is about 275.8147955848.

It can be divided in two parts, 209822 and 80, that added together give a palindrome (209902).

The spelling of 20982280 in words is "twenty million, nine hundred eighty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1109 1720 1892 2218 2365 3784 4436 4730 5545 8872 9460 11090 12199 18920 22180 24398 44360 47687 48796 60995 95374 97592 121990 190748 238435 243980 381496 476870 487960 524557 953740 1049114 1907480 2098228 2622785 4196456 5245570 10491140 20982280