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20420010 = 23251331563
BaseRepresentation
bin100110111100…
…1010110101010
31102102102222200
41031321112222
520211420020
62005401030
7335365362
oct115712652
942372880
1020420010
1110587946
126a09176
1342cc660
1429d79a2
151bd5590
hex13795aa

20420010 has 96 divisors (see below), whose sum is σ = 59125248. Its totient is φ = 4855680.

The previous prime is 20419981. The next prime is 20420011. The reversal of 20420010 is 1002402.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20419974 and 20420001.

It is not an unprimeable number, because it can be changed into a prime (20420011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35989 + ... + 36551.

It is an arithmetic number, because the mean of its divisors is an integer number (615888).

Almost surely, 220420010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20420010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29562624).

20420010 is an abundant number, since it is smaller than the sum of its proper divisors (38705238).

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

20420010 is a wasteful number, since it uses less digits than its factorization.

20420010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 20420010 is about 4518.8505175542. The cubic root of 20420010 is about 273.3287509973.

Adding to 20420010 its reverse (1002402), we get a palindrome (21422412).

The spelling of 20420010 in words is "twenty million, four hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 563 585 806 930 1126 1170 1209 1395 1689 2015 2418 2790 2815 3378 3627 4030 5067 5630 6045 7254 7319 8445 10134 12090 14638 16890 17453 18135 21957 25335 34906 36270 36595 43914 50670 52359 65871 73190 87265 104718 109785 131742 157077 174530 219570 226889 261795 314154 329355 453778 523590 658710 680667 785385 1134445 1361334 1570770 2042001 2268890 3403335 4084002 6806670 10210005 20420010