Base | Representation |
---|---|
bin | 10101001000101111100000 |
3 | 101102111121000 |
4 | 111020233200 |
5 | 2404301312 |
6 | 314432000 |
7 | 65045013 |
oct | 25105740 |
9 | 11374530 |
10 | 5540832 |
11 | 3144a00 |
12 | 1a32600 |
13 | 11bcccb |
14 | a4337a |
15 | 746adc |
hex | 548be0 |
5540832 has 144 divisors (see below), whose sum is σ = 18098640. Its totient is φ = 1647360.
The previous prime is 5540819. The next prime is 5540839. The reversal of 5540832 is 2380455.
5540832 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
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 = 5540796 and 5540805.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5540839) 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, 104518 + ... + 104570.
It is an arithmetic number, because the mean of its divisors is an integer number (125685).
Almost surely, 25540832 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 5540832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049320).
5540832 is an abundant number, since it is smaller than the sum of its proper divisors (12557808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5540832 is a wasteful number, since it uses less digits than its factorization.
5540832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 94 (or 69 counting only the distinct ones).
The product of its (nonzero) digits is 4800, while the sum is 27.
The square root of 5540832 is about 2353.8971940168. The cubic root of 5540832 is about 176.9531619819.
The spelling of 5540832 in words is "five million, five hundred forty thousand, eight hundred thirty-two".
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