Base | Representation |
---|---|
bin | 1011001111100… |
… | …1110110010000 |
3 | 10021202000100100 |
4 | 2303321312100 |
5 | 44033120340 |
6 | 4402452400 |
7 | 1111600545 |
oct | 263716620 |
9 | 107660310 |
10 | 47160720 |
11 | 24691602 |
12 | 13964100 |
13 | 9a02c69 |
14 | 6398bcc |
15 | 4218830 |
hex | 2cf9d90 |
47160720 has 120 divisors (see below), whose sum is σ = 167741496. Its totient is φ = 11833344.
The previous prime is 47160691. The next prime is 47160727. The reversal of 47160720 is 2706174.
It can be written as a sum of positive squares in 4 ways, for example, as 24920064 + 22240656 = 4992^2 + 4716^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is not an unprimeable number, because it can be changed into a prime (47160727) 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, 10314 + ... + 14166.
Almost surely, 247160720 is an apocalyptic number.
47160720 is a gapful number since it is divisible by the number (40) 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 47160720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83870748).
47160720 is an abundant number, since it is smaller than the sum of its proper divisors (120580776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47160720 is a wasteful number, since it uses less digits than its factorization.
47160720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3889 (or 3880 counting only the distinct ones).
The product of its (nonzero) digits is 2352, while the sum is 27.
The square root of 47160720 is about 6867.3663073991. The cubic root of 47160720 is about 361.2934950004.
Adding to 47160720 its reverse (2706174), we get a palindrome (49866894).
The spelling of 47160720 in words is "forty-seven million, one hundred sixty thousand, seven hundred twenty".
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