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20795080 = 2351753577
BaseRepresentation
bin100111101010…
…0111011001000
31110010111111011
41033110323020
520310420310
62021413304
7341520025
oct117247310
943114434
1020795080
1110813719
126b6a234
1344012a7
142a9454c
151c5b78a
hex13d4ec8

20795080 has 64 divisors (see below), whose sum is σ = 50563440. Its totient is φ = 7667712.

The previous prime is 20795057. The next prime is 20795087. The reversal of 20795080 is 8059702.

It can be written as a sum of positive squares in 8 ways, for example, as 19589476 + 1205604 = 4426^2 + 1098^2 .

It is not an unprimeable number, because it can be changed into a prime (20795087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35752 + ... + 36328.

Almost surely, 220795080 is an apocalyptic number.

20795080 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 20795080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25281720).

20795080 is an abundant number, since it is smaller than the sum of its proper divisors (29768360).

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

20795080 is a wasteful number, since it uses less digits than its factorization.

20795080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 20795080 is about 4560.1622778142. The cubic root of 20795080 is about 274.9920879266.

The spelling of 20795080 in words is "twenty million, seven hundred ninety-five thousand, eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 340 424 530 577 680 901 1060 1154 1802 2120 2308 2885 3604 4505 4616 5770 7208 9010 9809 11540 18020 19618 23080 30581 36040 39236 49045 61162 78472 98090 122324 152905 196180 244648 305810 392360 519877 611620 1039754 1223240 2079508 2599385 4159016 5198770 10397540 20795080