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20816730 = 23351143163
BaseRepresentation
bin100111101101…
…0001101011010
31110011121012000
41033122031122
520312113410
62022101430
7341640114
oct117321532
943147160
1020816730
1110828a10
126b7a876
13440b0bc
142a9c3b4
151c62dc0
hex13da35a

20816730 has 128 divisors (see below), whose sum is σ = 62346240. Its totient is φ = 4898880.

The previous prime is 20816701. The next prime is 20816759. The reversal of 20816730 is 3761802.

It is an interprime number because it is at equal distance from previous prime (20816701) and next prime (20816759).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20816694 and 20816703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127629 + ... + 127791.

It is an arithmetic number, because the mean of its divisors is an integer number (487080).

Almost surely, 220816730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20816730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31173120).

20816730 is an abundant number, since it is smaller than the sum of its proper divisors (41529510).

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

20816730 is a wasteful number, since it uses less digits than its factorization.

20816730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20816730 is about 4562.5354793141. The cubic root of 20816730 is about 275.0874873157.

The spelling of 20816730 in words is "twenty million, eight hundred sixteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 43 45 54 55 66 86 90 99 110 129 135 163 165 198 215 258 270 297 326 330 387 430 473 489 495 594 645 774 815 946 978 990 1161 1290 1419 1467 1485 1630 1793 1935 2322 2365 2445 2838 2934 2970 3586 3870 4257 4401 4730 4890 5379 5805 7009 7095 7335 8514 8802 8965 10758 11610 12771 14018 14190 14670 16137 17930 21027 21285 22005 25542 26895 32274 35045 42054 42570 44010 48411 53790 63081 63855 70090 77099 80685 96822 105135 126162 127710 154198 161370 189243 210270 231297 242055 315405 378486 385495 462594 484110 630810 693891 770990 946215 1156485 1387782 1892430 2081673 2312970 3469455 4163346 6938910 10408365 20816730