Base | Representation |
---|---|
bin | 111111001010011… |
… | …001011100000000 |
3 | 2201211222211201200 |
4 | 333022121130000 |
5 | 4132240041430 |
6 | 253052501200 |
7 | 35155134630 |
oct | 7712313400 |
9 | 2654884650 |
10 | 1059690240 |
11 | 4a4192a64 |
12 | 256a7a800 |
13 | 13b70915b |
14 | a0a486c0 |
15 | 63072460 |
hex | 3f299700 |
1059690240 has 432 divisors, whose sum is σ = 4442413248. Its totient is φ = 227672064.
The previous prime is 1059690227. The next prime is 1059690251. The reversal of 1059690240 is 420969501.
It is a super-2 number, since 2×10596902402 = 2245886809502515200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1059690195 and 1059690204.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370494 + ... + 1371266.
It is an arithmetic number, because the mean of its divisors is an integer number (10283364).
Almost surely, 21059690240 is an apocalyptic number.
1059690240 is a gapful number since it is divisible by the number (10) 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 1059690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221206624).
1059690240 is an abundant number, since it is smaller than the sum of its proper divisors (3382723008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1059690240 is a wasteful number, since it uses less digits than its factorization.
1059690240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 824 (or 807 counting only the distinct ones).
The product of its (nonzero) digits is 19440, while the sum is 36.
The square root of 1059690240 is about 32552.8837432262. The cubic root of 1059690240 is about 1019.5134934794.
The spelling of 1059690240 in words is "one billion, fifty-nine million, six hundred ninety thousand, two hundred forty".
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