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20802312 = 2333193499
BaseRepresentation
bin100111101011…
…0101100001000
31110010212102000
41033112230020
520311133222
62021511000
7341550066
oct117265410
943125360
1020802312
11108190a3
126b72460
13440467b
142a97036
151c5d9ac
hex13d6b08

20802312 has 64 divisors (see below), whose sum is σ = 58200000. Its totient is φ = 6884352.

The previous prime is 20802311. The next prime is 20802317. The reversal of 20802312 is 21320802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20802311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41439 + ... + 41937.

It is an arithmetic number, because the mean of its divisors is an integer number (909375).

Almost surely, 220802312 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 20802312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29100000).

20802312 is an abundant number, since it is smaller than the sum of its proper divisors (37397688).

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

20802312 is a wasteful number, since it uses less digits than its factorization.

20802312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20802312 is about 4560.9551631210. The cubic root of 20802312 is about 275.0239626502.

The spelling of 20802312 in words is "twenty million, eight hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 193 216 386 499 579 772 998 1158 1497 1544 1737 1996 2316 2994 3474 3992 4491 4632 5211 5988 6948 8982 10422 11976 13473 13896 17964 20844 26946 35928 41688 53892 96307 107784 192614 288921 385228 577842 770456 866763 1155684 1733526 2311368 2600289 3467052 5200578 6934104 10401156 20802312