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20816670 = 23574172
BaseRepresentation
bin100111101101…
…0001100011110
31110011121002210
41033122030132
520312113140
62022101250
7341640000
oct117321436
943147083
1020816670
1110828966
126b7a826
13440b074
142a9c370
151c62d80
hex13da31e

20816670 has 120 divisors (see below), whose sum is σ = 61913304. Its totient is φ = 4478208.

The previous prime is 20816669. The next prime is 20816689. The reversal of 20816670 is 7661802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1224502 + ... + 1224518.

Almost surely, 220816670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20816670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30956652).

20816670 is an abundant number, since it is smaller than the sum of its proper divisors (41096634).

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

20816670 is an equidigital number, since it uses as much as digits as its factorization.

20816670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 20816670 is about 4562.5289040180. The cubic root of 20816670 is about 275.0872230209.

Multiplying 20816670 by its sum of digits (30), we get a square (624500100 = 249902).

20816670 divided by its sum of digits (30) gives a square (693889 = 8332).

The spelling of 20816670 in words is "twenty million, eight hundred sixteen thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 85 98 102 105 119 147 170 210 238 245 255 289 294 343 357 490 510 578 595 686 714 735 833 867 1029 1190 1445 1470 1666 1715 1734 1785 2023 2058 2401 2499 2890 3430 3570 4046 4165 4335 4802 4998 5145 5831 6069 7203 8330 8670 10115 10290 11662 12005 12138 12495 14161 14406 17493 20230 24010 24990 28322 29155 30345 34986 36015 40817 42483 58310 60690 70805 72030 81634 84966 87465 99127 122451 141610 174930 198254 204085 212415 244902 297381 408170 424830 495635 594762 612255 693889 991270 1224510 1387778 1486905 2081667 2973810 3469445 4163334 6938890 10408335 20816670