Base | Representation |
---|---|
bin | 100111111111… |
… | …1111100110010 |
3 | 1110110110020100 |
4 | 1033333330302 |
5 | 20332040224 |
6 | 2025253230 |
7 | 343152600 |
oct | 117777462 |
9 | 43413210 |
10 | 20971314 |
11 | 10924071 |
12 | 7034216 |
13 | 4463580 |
14 | 2adc870 |
15 | 1c93ac9 |
hex | 13fff32 |
20971314 has 144 divisors (see below), whose sum is σ = 59754240. Its totient is φ = 5261760.
The previous prime is 20971297. The next prime is 20971381. The reversal of 20971314 is 41317902.
It is a Curzon number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 355417 + ... + 355475.
It is an arithmetic number, because the mean of its divisors is an integer number (414960).
Almost surely, 220971314 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 20971314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29877120).
20971314 is an abundant number, since it is smaller than the sum of its proper divisors (38782926).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20971314 is a wasteful number, since it uses less digits than its factorization.
20971314 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 125 (or 115 counting only the distinct ones).
The product of its (nonzero) digits is 1512, while the sum is 27.
The square root of 20971314 is about 4579.4447261650. Note that the first 3 decimals coincide. The cubic root of 20971314 is about 275.7667373802.
The spelling of 20971314 in words is "twenty million, nine hundred seventy-one thousand, three hundred fourteen".
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