Base | Representation |
---|---|
bin | 100010101000111… |
… | …000011011100000 |
3 | 1111111112002021200 |
4 | 202220320123200 |
5 | 2142233022430 |
6 | 133355521200 |
7 | 20254425150 |
oct | 4250703340 |
9 | 1444462250 |
10 | 581142240 |
11 | 279048848 |
12 | 142759200 |
13 | 93525363 |
14 | 57278760 |
15 | 36045460 |
hex | 22a386e0 |
581142240 has 144 divisors (see below), whose sum is σ = 2266494048. Its totient is φ = 132830208.
The previous prime is 581142217. The next prime is 581142277. The reversal of 581142240 is 42241185.
581142240 is a `hidden beast` number, since 581 + 1 + 42 + 2 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×5811422402 = 675452606224435200, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18747 + ... + 38906.
It is an arithmetic number, because the mean of its divisors is an integer number (15739542).
Almost surely, 2581142240 is an apocalyptic number.
It is an amenable number.
581142240 is an abundant number, since it is smaller than the sum of its proper divisors (1685351808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
581142240 is a wasteful number, since it uses less digits than its factorization.
581142240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 57681 (or 57670 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 27.
The square root of 581142240 is about 24106.8919605992. The cubic root of 581142240 is about 834.5021905165.
The spelling of 581142240 in words is "five hundred eighty-one million, one hundred forty-two thousand, two hundred forty".
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