Base | Representation |
---|---|
bin | 1111000011110… |
… | …1101001000000 |
3 | 11101212012220000 |
4 | 3300331221000 |
5 | 112132321130 |
6 | 10133520000 |
7 | 1364624316 |
oct | 360755100 |
9 | 141765800 |
10 | 63167040 |
11 | 32724372 |
12 | 191a3000 |
13 | 10118661 |
14 | 85640b6 |
15 | 582b260 |
hex | 3c3da40 |
63167040 has 140 divisors (see below), whose sum is σ = 224788476. Its totient is φ = 16837632.
The previous prime is 63167033. The next prime is 63167059. The reversal of 63167040 is 4076136.
It can be written as a sum of positive squares in 2 ways, for example, as 43877376 + 19289664 = 6624^2 + 4392^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 63166995 and 63167013.
It is a congruent number.
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, 24702 + ... + 27138.
Almost surely, 263167040 is an apocalyptic number.
63167040 is a gapful number since it is divisible by the number (60) 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 63167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112394238).
63167040 is an abundant number, since it is smaller than the sum of its proper divisors (161621436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63167040 is a wasteful number, since it uses less digits than its factorization.
63167040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2466 (or 2447 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 63167040 is about 7947.7694984190. The cubic root of 63167040 is about 398.2570833004.
The spelling of 63167040 in words is "sixty-three million, one hundred sixty-seven thousand, forty".
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