Base | Representation |
---|---|
bin | 111110011111011110000 |
3 | 10212000221210 |
4 | 13303323300 |
5 | 1011011403 |
6 | 111520120 |
7 | 23256024 |
oct | 7637360 |
9 | 3760853 |
10 | 2047728 |
11 | 1179541 |
12 | 829040 |
13 | 569097 |
14 | 3b4384 |
15 | 2a6b03 |
hex | 1f3ef0 |
2047728 has 40 divisors (see below), whose sum is σ = 5437648. Its totient is φ = 663552.
The previous prime is 2047699. The next prime is 2047729. The reversal of 2047728 is 8277402.
It is a junction number, because it is equal to n+sod(n) for n = 2047695 and 2047704.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2047729) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1200 + ... + 2352.
22047728 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 2047728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718824).
2047728 is an abundant number, since it is smaller than the sum of its proper divisors (3389920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2047728 is a wasteful number, since it uses less digits than its factorization.
2047728 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1201 (or 1195 counting only the distinct ones).
The product of its (nonzero) digits is 6272, while the sum is 30.
The square root of 2047728 is about 1430.9884695552. The cubic root of 2047728 is about 126.9864618632.
It can be divided in two parts, 2047 and 728, that added together give a triangular number (2775 = T74).
The spelling of 2047728 in words is "two million, forty-seven thousand, seven hundred twenty-eight".
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