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20431620 = 223251117607
BaseRepresentation
bin100110111110…
…0001100000100
31102110000220200
41031330030010
520212302440
62005530500
7335444256
oct115741404
942400820
1020431620
1110595640
126a13a30
134304a21
1429dbcd6
151bd8c30
hex137c304

20431620 has 144 divisors (see below), whose sum is σ = 71705088. Its totient is φ = 4654080.

The previous prime is 20431591. The next prime is 20431627. The reversal of 20431620 is 2613402.

It is a happy number.

20431620 is a `hidden beast` number, since 2 + 0 + 43 + 1 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20431593 and 20431602.

It is not an unprimeable number, because it can be changed into a prime (20431627) 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 47 ways as a sum of consecutive naturals, for example, 33357 + ... + 33963.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 220431620 is an apocalyptic number.

20431620 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 20431620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852544).

20431620 is an abundant number, since it is smaller than the sum of its proper divisors (51273468).

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

20431620 is a wasteful number, since it uses less digits than its factorization.

20431620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20431620 is about 4520.1349537376. The cubic root of 20431620 is about 273.3805424439.

It can be divided in two parts, 2043 and 1620, that added together give a palindrome (3663).

The spelling of 20431620 in words is "twenty million, four hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 607 612 660 748 765 935 990 1020 1122 1214 1530 1683 1821 1870 1980 2244 2428 2805 3035 3060 3366 3642 3740 5463 5610 6070 6677 6732 7284 8415 9105 10319 10926 11220 12140 13354 16830 18210 20031 20638 21852 26708 27315 30957 33385 33660 36420 40062 41276 51595 54630 60093 61914 66770 80124 92871 100155 103190 109260 113509 120186 123828 133540 154785 185742 200310 206380 227018 240372 300465 309570 340527 371484 400620 454036 464355 567545 600930 619140 681054 928710 1021581 1135090 1201860 1362108 1702635 1857420 2043162 2270180 3405270 4086324 5107905 6810540 10215810 20431620