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20726640 = 24325112617
BaseRepresentation
bin100111100010…
…0001101110000
31110000000121100
41033010031300
520301223030
62020124400
7341113344
oct117041560
943000540
1020726640
1110777260
126b36700
1343a90ac
142a77624
151c46360
hex13c4370

20726640 has 120 divisors (see below), whose sum is σ = 75963888. Its totient is φ = 5022720.

The previous prime is 20726627. The next prime is 20726647. The reversal of 20726640 is 4662702.

20726640 = T249 + T250 + ... + T518.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20726647) 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 23 ways as a sum of consecutive naturals, for example, 6612 + ... + 9228.

Almost surely, 220726640 is an apocalyptic number.

20726640 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 20726640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37981944).

20726640 is an abundant number, since it is smaller than the sum of its proper divisors (55237248).

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

20726640 is a wasteful number, since it uses less digits than its factorization.

20726640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20726640 is about 4552.6519743991. The cubic root of 20726640 is about 274.6900750884.

The spelling of 20726640 in words is "twenty million, seven hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2617 2640 3960 5234 7851 7920 10468 13085 15702 20936 23553 26170 28787 31404 39255 41872 47106 52340 57574 62808 78510 86361 94212 104680 115148 117765 125616 143935 157020 172722 188424 209360 230296 235530 259083 287870 314040 345444 376848 431805 460592 471060 518166 575740 628080 690888 863610 942120 1036332 1151480 1295415 1381776 1727220 1884240 2072664 2302960 2590830 3454440 4145328 5181660 6908880 10363320 20726640