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20430396 = 223271719251
BaseRepresentation
bin100110111101…
…1111000111100
31102102222020100
41031323320330
520212233041
62005521100
7335440560
oct115737074
942388210
1020430396
1110594728
126a13190
1343042bc
1429db6a0
151bd86b6
hex137be3c

20430396 has 144 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 5184000.

The previous prime is 20430373. The next prime is 20430409. The reversal of 20430396 is 69303402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81271 + ... + 81521.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 220430396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20430396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

20430396 is an abundant number, since it is smaller than the sum of its proper divisors (45613764).

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

20430396 is a wasteful number, since it uses less digits than its factorization.

20430396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 20430396 is about 4519.9995575221. Note that the first 3 decimals coincide. The cubic root of 20430396 is about 273.3750831858.

Adding to 20430396 its reverse (69303402), we get a palindrome (89733798).

The spelling of 20430396 in words is "twenty million, four hundred thirty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 19 21 28 34 36 38 42 51 57 63 68 76 84 102 114 119 126 133 153 171 204 228 238 251 252 266 306 323 342 357 399 476 502 532 612 646 684 714 753 798 969 1004 1071 1197 1292 1428 1506 1596 1757 1938 2142 2259 2261 2394 2907 3012 3514 3876 4267 4284 4518 4522 4769 4788 5271 5814 6783 7028 8534 9036 9044 9538 10542 11628 12801 13566 14307 15813 17068 19076 20349 21084 25602 27132 28614 29869 31626 33383 38403 40698 42921 51204 57228 59738 63252 66766 76806 81073 81396 85842 89607 100149 119476 133532 153612 162146 171684 179214 200298 243219 268821 300447 324292 358428 400596 486438 537642 567511 600894 729657 972876 1075284 1135022 1201788 1459314 1702533 2270044 2918628 3405066 5107599 6810132 10215198 20430396