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20781390 = 2357267211
BaseRepresentation
bin100111101000…
…1100101001110
31110002210201010
41033101211032
520310001030
62021230050
7341432100
oct117214516
943083633
1020781390
1110804403
126b62326
1343c7ca6
142a8d570
151c576b0
hex13d194e

20781390 has 96 divisors (see below), whose sum is σ = 59163264. Its totient is φ = 4656960.

The previous prime is 20781389. The next prime is 20781403. The reversal of 20781390 is 9318702.

It is a happy number.

It is a super-3 number, since 3×207813903 (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 98385 + ... + 98595.

It is an arithmetic number, because the mean of its divisors is an integer number (616284).

Almost surely, 220781390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20781390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29581632).

20781390 is an abundant number, since it is smaller than the sum of its proper divisors (38381874).

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

20781390 is a wasteful number, since it uses less digits than its factorization.

20781390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 20781390 is about 4558.6609876147. The cubic root of 20781390 is about 274.9317296093.

The spelling of 20781390 in words is "twenty million, seven hundred eighty-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 67 70 98 105 134 147 201 210 211 245 294 335 402 422 469 490 633 670 735 938 1005 1055 1266 1407 1470 1477 2010 2110 2345 2814 2954 3165 3283 4431 4690 6330 6566 7035 7385 8862 9849 10339 14070 14137 14770 16415 19698 20678 22155 28274 31017 32830 42411 44310 49245 51695 62034 70685 84822 98490 98959 103390 141370 155085 197918 212055 296877 310170 424110 494795 593754 692713 989590 1385426 1484385 2078139 2968770 3463565 4156278 6927130 10390695 20781390