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20819016 = 23321773233
BaseRepresentation
bin100111101101…
…0110001001000
31110011201022200
41033122301020
520312202031
62022120200
7341646561
oct117326110
943151280
1020819016
111082a6a9
126b80060
13440c15a
142a9d168
151c638e6
hex13dac48

20819016 has 96 divisors (see below), whose sum is σ = 60779160. Its totient is φ = 6414336.

The previous prime is 20818997. The next prime is 20819017. The reversal of 20819016 is 61091802.

It can be written as a sum of positive squares in 4 ways, for example, as 18096516 + 2722500 = 4254^2 + 1650^2 .

It is not an unprimeable number, because it can be changed into a prime (20819017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89236 + ... + 89468.

Almost surely, 220819016 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 20819016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30389580).

20819016 is an abundant number, since it is smaller than the sum of its proper divisors (39960144).

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

20819016 is a wasteful number, since it uses less digits than its factorization.

20819016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 20819016 is about 4562.7859910366. The cubic root of 20819016 is about 275.0975565722.

The spelling of 20819016 in words is "twenty million, eight hundred nineteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 73 102 136 146 153 204 219 233 292 306 408 438 466 584 612 657 699 876 932 1224 1241 1314 1398 1752 1864 2097 2482 2628 2796 3723 3961 4194 4964 5256 5592 7446 7922 8388 9928 11169 11883 14892 15844 16776 17009 22338 23766 29784 31688 34018 35649 44676 47532 51027 68036 71298 89352 95064 102054 136072 142596 153081 204108 285192 289153 306162 408216 578306 612324 867459 1156612 1224648 1734918 2313224 2602377 3469836 5204754 6939672 10409508 20819016