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20428380 = 22325731523
BaseRepresentation
bin100110111101…
…1011001011100
31102102212110200
41031323121130
520212202010
62005503500
7335431650
oct115733134
942385420
1020428380
1110593165
126a11b90
1343033cb
1429daa60
151bd7cc0
hex137b65c

20428380 has 144 divisors (see below), whose sum is σ = 73242624. Its totient is φ = 4510080.

The previous prime is 20428379. The next prime is 20428381. The reversal of 20428380 is 8382402.

It is an interprime number because it is at equal distance from previous prime (20428379) and next prime (20428381).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20428381) 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, 38799 + ... + 39321.

Almost surely, 220428380 is an apocalyptic number.

20428380 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 20428380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36621312).

20428380 is an abundant number, since it is smaller than the sum of its proper divisors (52814244).

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

20428380 is a wasteful number, since it uses less digits than its factorization.

20428380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20428380 is about 4519.7765431490. The cubic root of 20428380 is about 273.3660909910.

The spelling of 20428380 in words is "twenty million, four hundred twenty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 523 558 620 630 651 868 930 1046 1085 1116 1260 1302 1395 1569 1860 1953 2092 2170 2604 2615 2790 3138 3255 3661 3906 4340 4707 5230 5580 6276 6510 7322 7812 7845 9414 9765 10460 10983 13020 14644 15690 16213 18305 18828 19530 21966 23535 31380 32426 32949 36610 39060 43932 47070 48639 54915 64852 65898 73220 81065 94140 97278 109830 113491 131796 145917 162130 164745 194556 219660 226982 243195 291834 324260 329490 340473 453964 486390 567455 583668 658980 680946 729585 972780 1021419 1134910 1361892 1459170 1702365 2042838 2269820 2918340 3404730 4085676 5107095 6809460 10214190 20428380