Search a number
-
+
20782530 = 232537792
BaseRepresentation
bin100111101000…
…1110111000010
31110002212021100
41033101313002
520310020110
62021235230
7341435316
oct117216702
943085240
1020782530
111080524a
126b62b16
1343c8672
142a8db46
151c57bc0
hex13d1dc2

20782530 has 72 divisors (see below), whose sum is σ = 56206332. Its totient is φ = 5323968.

The previous prime is 20782513. The next prime is 20782543. The reversal of 20782530 is 3528702.

It can be written as a sum of positive squares in 2 ways, for example, as 20277009 + 505521 = 4503^2 + 711^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20782494 and 20782503.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 263031 + ... + 263109.

Almost surely, 220782530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20782530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28103166).

20782530 is an abundant number, since it is smaller than the sum of its proper divisors (35423802).

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

20782530 is a wasteful number, since it uses less digits than its factorization.

20782530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20782530 is about 4558.7860226161. The cubic root of 20782530 is about 274.9367568066.

It can be divided in two parts, 20782 and 530, that added together give a palindrome (21312).

The spelling of 20782530 in words is "twenty million, seven hundred eighty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 79 90 111 158 185 222 237 333 370 395 474 555 666 711 790 1110 1185 1422 1665 2370 2923 3330 3555 5846 6241 7110 8769 12482 14615 17538 18723 26307 29230 31205 37446 43845 52614 56169 62410 87690 93615 112338 131535 187230 230917 263070 280845 461834 561690 692751 1154585 1385502 2078253 2309170 3463755 4156506 6927510 10391265 20782530