Base | Representation |
---|---|
bin | 111111110010010… |
… | …111000011100000 |
3 | 2202120201002002200 |
4 | 333302113003200 |
5 | 4142430304430 |
6 | 254105213200 |
7 | 35343156123 |
oct | 7762270340 |
9 | 2676632080 |
10 | 1070166240 |
11 | 4aa098810 |
12 | 25a491200 |
13 | 140936580 |
14 | a21b43ba |
15 | 63e41460 |
hex | 3fc970e0 |
1070166240 has 288 divisors, whose sum is σ = 4291219296. Its totient is φ = 239431680.
The previous prime is 1070166233. The next prime is 1070166299. The reversal of 1070166240 is 426610701.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×10701662402 = 2290511562471475200, 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 47 ways as a sum of consecutive naturals, for example, 203322 + ... + 208518.
It is an arithmetic number, because the mean of its divisors is an integer number (14900067).
Almost surely, 21070166240 is an apocalyptic number.
1070166240 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 1070166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145609648).
1070166240 is an abundant number, since it is smaller than the sum of its proper divisors (3221053056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1070166240 is a wasteful number, since it uses less digits than its factorization.
1070166240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5242 (or 5231 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 27.
The square root of 1070166240 is about 32713.3954214478. The cubic root of 1070166240 is about 1022.8620884312.
Adding to 1070166240 its reverse (426610701), we get a palindrome (1496776941).
The spelling of 1070166240 in words is "one billion, seventy million, one hundred sixty-six thousand, two hundred forty".
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