Base | Representation |
---|---|
bin | 100110100000… |
… | …0101010010000 |
3 | 1101222122110000 |
4 | 1031000222100 |
5 | 20132002132 |
6 | 2000410000 |
7 | 333410352 |
oct | 115005220 |
9 | 41878400 |
10 | 20187792 |
11 | 10439429 |
12 | 6916900 |
13 | 424aa51 |
14 | 29770d2 |
15 | 1b8b87c |
hex | 1340a90 |
20187792 has 100 divisors (see below), whose sum is σ = 60151036. Its totient is φ = 6531840.
The previous prime is 20187787. The next prime is 20187803. The reversal of 20187792 is 29778102.
It can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 12702096 = 2736^2 + 3564^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47742 + ... + 48162.
Almost surely, 220187792 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 20187792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30075518).
20187792 is an abundant number, since it is smaller than the sum of its proper divisors (39963244).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20187792 is a wasteful number, since it uses less digits than its factorization.
20187792 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 478 (or 463 counting only the distinct ones).
The product of its (nonzero) digits is 14112, while the sum is 36.
The square root of 20187792 is about 4493.0826834146. The cubic root of 20187792 is about 272.2886929046.
The spelling of 20187792 in words is "twenty million, one hundred eighty-seven thousand, seven hundred ninety-two".
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