Base | Representation |
---|---|
bin | 111110111100100… |
… | …001110111000000 |
3 | 2201121011010201210 |
4 | 332330201313000 |
5 | 4130322222340 |
6 | 252442530120 |
7 | 35112213510 |
oct | 7674416700 |
9 | 2647133653 |
10 | 1056054720 |
11 | 4a212a5a6 |
12 | 255806940 |
13 | 13aa35466 |
14 | a037d840 |
15 | 62aa5180 |
hex | 3ef21dc0 |
1056054720 has 224 divisors, whose sum is σ = 3964838400. Its totient is φ = 233017344.
The previous prime is 1056054697. The next prime is 1056054757. The reversal of 1056054720 is 274506501.
It is a tau number, because it is divible by the number of its divisors (224).
It is a super-3 number, since 3×10560547203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192171 + ... + 197589.
Almost surely, 21056054720 is an apocalyptic number.
1056054720 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 1056054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982419200).
1056054720 is an abundant number, since it is smaller than the sum of its proper divisors (2908783680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1056054720 is a wasteful number, since it uses less digits than its factorization.
1056054720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5475 (or 5465 counting only the distinct ones).
The product of its (nonzero) digits is 8400, while the sum is 30.
The square root of 1056054720 is about 32496.9955534354. The cubic root of 1056054720 is about 1018.3462629415.
The spelling of 1056054720 in words is "one billion, fifty-six million, fifty-four thousand, seven hundred twenty".
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