Base | Representation |
---|---|
bin | 111110111000100… |
… | …110011110000000 |
3 | 2201112012211020220 |
4 | 332320212132000 |
5 | 4130041300044 |
6 | 252404503040 |
7 | 35100364464 |
oct | 7670463600 |
9 | 2645184226 |
10 | 1055025024 |
11 | 4a1596a09 |
12 | 2553aaa80 |
13 | 13a764881 |
14 | a01924a4 |
15 | 62950019 |
hex | 3ee26780 |
1055025024 has 64 divisors (see below), whose sum is σ = 2812274640. Its totient is φ = 350437376.
The previous prime is 1055025011. The next prime is 1055025047. The reversal of 1055025024 is 4205205501.
It is a happy number.
1055025024 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 (64).
It is a super-2 number, since 2×10550250242 = 2226155602532401152, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 1055024985 and 1055025003.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107824 + ... + 117200.
Almost surely, 21055025024 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 1055025024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406137320).
1055025024 is an abundant number, since it is smaller than the sum of its proper divisors (1757249616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1055025024 is an equidigital number, since it uses as much as digits as its factorization.
1055025024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9687 (or 9675 counting only the distinct ones).
The product of its (nonzero) digits is 2000, while the sum is 24.
The square root of 1055025024 is about 32481.1487481585. The cubic root of 1055025024 is about 1018.0151790677.
1055025024 divided by its sum of digits (24) gives a triangular number (43959376 = T9376).
The spelling of 1055025024 in words is "one billion, fifty-five million, twenty-five thousand, twenty-four".
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