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20338626 = 23721119331
BaseRepresentation
bin100110110010…
…1011111000010
31102021022100110
41031211133002
520201314001
62003532150
7334606200
oct115453702
942238313
1020338626
1110531790
12698a056
1342a15b9
1429b6070
151bbb3d6
hex13657c2

20338626 has 96 divisors (see below), whose sum is σ = 54501120. Its totient is φ = 4989600.

The previous prime is 20338621. The next prime is 20338627. The reversal of 20338626 is 62683302.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20338593 and 20338602.

It is not an unprimeable number, because it can be changed into a prime (20338621) by changing a digit.

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, 61281 + ... + 61611.

It is an arithmetic number, because the mean of its divisors is an integer number (567720).

Almost surely, 220338626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20338626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27250560).

20338626 is an abundant number, since it is smaller than the sum of its proper divisors (34162494).

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

20338626 is a wasteful number, since it uses less digits than its factorization.

20338626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 20338626 is about 4509.8365824052. The cubic root of 20338626 is about 272.9651500550.

The spelling of 20338626 in words is "twenty million, three hundred thirty-eight thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 133 147 154 209 231 266 294 331 399 418 462 539 627 662 798 931 993 1078 1254 1463 1617 1862 1986 2317 2793 2926 3234 3641 4389 4634 5586 6289 6951 7282 8778 10241 10923 12578 13902 16219 18867 20482 21846 25487 30723 32438 37734 44023 48657 50974 61446 69179 76461 88046 97314 132069 138358 152922 178409 207537 264138 308161 356818 415074 484253 535227 616322 924483 968506 1070454 1452759 1848966 2905518 3389771 6779542 10169313 20338626