Base | Representation |
---|---|
bin | 111111000000101… |
… | …110000000011010 |
3 | 2201200012221100200 |
4 | 333000232000122 |
5 | 4131112344200 |
6 | 252522243030 |
7 | 35124436602 |
oct | 7700560032 |
9 | 2650187320 |
10 | 1057153050 |
11 | 4a280a808 |
12 | 256056476 |
13 | 13b02b365 |
14 | a0587c02 |
15 | 62c20800 |
hex | 3f02e01a |
1057153050 has 72 divisors (see below), whose sum is σ = 2847165984. Its totient is φ = 281218080.
The previous prime is 1057153033. The next prime is 1057153051. The reversal of 1057153050 is 503517501.
1057153050 is a `hidden beast` number, since 10 + 5 + 71 + 530 + 50 = 666.
It is a super-2 number, since 2×10571530502 = 2235145142248605000, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1057153051) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 196699 + ... + 202001.
It is an arithmetic number, because the mean of its divisors is an integer number (39543972).
Almost surely, 21057153050 is an apocalyptic number.
1057153050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 1057153050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423582992).
1057153050 is an abundant number, since it is smaller than the sum of its proper divisors (1790012934).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1057153050 is a wasteful number, since it uses less digits than its factorization.
1057153050 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5764 (or 5756 counting only the distinct ones).
The product of its (nonzero) digits is 2625, while the sum is 27.
The square root of 1057153050 is about 32513.8901086905. The cubic root of 1057153050 is about 1018.6991779633.
The spelling of 1057153050 in words is "one billion, fifty-seven million, one hundred fifty-three thousand, fifty".
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