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20125782 = 23223173281
BaseRepresentation
bin100110011000…
…1100001010110
31101212111101100
41030301201112
520123011112
61555210530
7333031515
oct114614126
941774340
1020125782
11103a6886
1268a6a46
134228761
14295c67c
151b782dc
hex1331856

20125782 has 48 divisors (see below), whose sum is σ = 45927648. Its totient is φ = 6357120.

The previous prime is 20125751. The next prime is 20125799. The reversal of 20125782 is 28752102.

It is a super-2 number, since 2×201257822 = 810094202223048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 71482 + ... + 71762.

It is an arithmetic number, because the mean of its divisors is an integer number (956826).

Almost surely, 220125782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20125782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22963824).

20125782 is an abundant number, since it is smaller than the sum of its proper divisors (25801866).

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

20125782 is a wasteful number, since it uses less digits than its factorization.

20125782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 20125782 is about 4486.1767686974. The cubic root of 20125782 is about 272.0096143516.

Adding to 20125782 its reverse (28752102), we get a palindrome (48877884).

The spelling of 20125782 in words is "twenty million, one hundred twenty-five thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 173 207 281 346 414 519 562 843 1038 1557 1686 2529 3114 3979 5058 6463 7958 11937 12926 19389 23874 35811 38778 48613 58167 71622 97226 116334 145839 291678 437517 875034 1118099 2236198 3354297 6708594 10062891 20125782