Base | Representation |
---|---|
bin | 111111111010001… |
… | …100100110000000 |
3 | 2202201120110002000 |
4 | 333322030212000 |
5 | 4143442024134 |
6 | 254221224000 |
7 | 35366503263 |
oct | 7772144600 |
9 | 2681513060 |
10 | 1072220544 |
11 | 50027118a |
12 | 25b102000 |
13 | 1411a5635 |
14 | a258acda |
15 | 641e9e99 |
hex | 3fe8c980 |
1072220544 has 96 divisors (see below), whose sum is σ = 3170231400. Its totient is φ = 356765184.
The previous prime is 1072220537. The next prime is 1072220573. The reversal of 1072220544 is 4450222701.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
1072220544 is digitally balanced in base 2, 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 (96).
It is a super-2 number, since 2×10722205442 = 2299313789951311872, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1924714 + ... + 1925270.
Almost surely, 21072220544 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 1072220544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585115700).
1072220544 is an abundant number, since it is smaller than the sum of its proper divisors (2098010856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1072220544 is an frugal number, since it uses more digits than its factorization.
With its successor (1072220545) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1137).
1072220544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1137 (or 562 counting only the distinct ones).
The product of its (nonzero) digits is 4480, while the sum is 27.
The square root of 1072220544 is about 32744.7788815255. The cubic root of 1072220544 is about 1023.5161695426.
The spelling of 1072220544 in words is "one billion, seventy-two million, two hundred twenty thousand, five hundred forty-four".
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