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9946020 = 22357217199
BaseRepresentation
bin100101111100…
…001110100100
3200201022101010
4211330032210
510021233040
6553102220
7150353100
oct45741644
920638333
109946020
115683657
1233b7970
1320a3126
14146c900
15d16e80
hex97c3a4

9946020 has 144 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 2128896.

The previous prime is 9945997. The next prime is 9946039. The reversal of 9946020 is 206499.

9946020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 49881 + ... + 50079.

It is an arithmetic number, because the mean of its divisors is an integer number (239400).

Almost surely, 29946020 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 9946020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

9946020 is an abundant number, since it is smaller than the sum of its proper divisors (24527580).

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

9946020 is a wasteful number, since it uses less digits than its factorization.

9946020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 9946020 is about 3153.7311236058. The cubic root of 9946020 is about 215.0551147687.

The spelling of 9946020 in words is "nine million, nine hundred forty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 199 204 210 238 245 255 294 340 357 398 420 476 490 510 588 595 597 714 735 796 833 980 995 1020 1190 1194 1393 1428 1470 1666 1785 1990 2380 2388 2499 2786 2940 2985 3332 3383 3570 3980 4165 4179 4998 5572 5970 6766 6965 7140 8330 8358 9751 9996 10149 11940 12495 13532 13930 16660 16716 16915 19502 20298 20895 23681 24990 27860 29253 33830 39004 40596 41790 47362 48755 49980 50745 58506 67660 71043 83580 94724 97510 101490 117012 118405 142086 146265 165767 195020 202980 236810 284172 292530 331534 355215 473620 497301 585060 663068 710430 828835 994602 1420860 1657670 1989204 2486505 3315340 4973010 9946020