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20730320 = 2451331643
BaseRepresentation
bin100111100010…
…1000111010000
31110000012122122
41033011013100
520301332240
62020153412
7341130152
oct117050720
943005578
1020730320
1110779aa6
126b38868
1343aa980
142a78ad2
151c474b5
hex13c51d0

20730320 has 80 divisors (see below), whose sum is σ = 53663232. Its totient is φ = 7395840.

The previous prime is 20730313. The next prime is 20730373. The reversal of 20730320 is 2303702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31919 + ... + 32561.

Almost surely, 220730320 is an apocalyptic number.

20730320 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 20730320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26831616).

20730320 is an abundant number, since it is smaller than the sum of its proper divisors (32932912).

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

20730320 is a wasteful number, since it uses less digits than its factorization.

20730320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 17.

The square root of 20730320 is about 4553.0561165002. The cubic root of 20730320 is about 274.7063311346.

The spelling of 20730320 in words is "twenty million, seven hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 643 806 1040 1240 1286 1612 2015 2480 2572 3215 3224 4030 5144 6430 6448 8060 8359 10288 12860 16120 16718 19933 25720 32240 33436 39866 41795 51440 66872 79732 83590 99665 133744 159464 167180 199330 259129 318928 334360 398660 518258 668720 797320 1036516 1295645 1594640 2073032 2591290 4146064 5182580 10365160 20730320