Base | Representation |
---|---|
bin | 111111000000010… |
… | …001010001100000 |
3 | 2201122222221220210 |
4 | 333000101101200 |
5 | 4131100112420 |
6 | 252515534120 |
7 | 35123436513 |
oct | 7700212140 |
9 | 2648887823 |
10 | 1057035360 |
11 | 4a273a347 |
12 | 255bba340 |
13 | 13acb9914 |
14 | a0556d7a |
15 | 62bea9e0 |
hex | 3f011460 |
1057035360 has 96 divisors (see below), whose sum is σ = 3504936960. Its totient is φ = 267038208.
The previous prime is 1057035359. The next prime is 1057035377. The reversal of 1057035360 is 635307501.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×10570353602 = 2234647504580659200, which contains 22 as substring.
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 pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48832 + ... + 67071.
It is an arithmetic number, because the mean of its divisors is an integer number (36509760).
Almost surely, 21057035360 is an apocalyptic number.
1057035360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1057035360 is an abundant number, since it is smaller than the sum of its proper divisors (2447901600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1057035360 is a wasteful number, since it uses less digits than its factorization.
1057035360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 115940 (or 115932 counting only the distinct ones).
The product of its (nonzero) digits is 9450, while the sum is 30.
The square root of 1057035360 is about 32512.0802164365. The cubic root of 1057035360 is about 1018.6613735490.
The spelling of 1057035360 in words is "one billion, fifty-seven million, thirty-five thousand, three hundred sixty".
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