Base | Representation |
---|---|
bin | 111110111001110… |
… | …011010111100000 |
3 | 2201112210211022200 |
4 | 332321303113200 |
5 | 4130131340000 |
6 | 252415333200 |
7 | 35103146001 |
oct | 7671632740 |
9 | 2645724280 |
10 | 1055340000 |
11 | 4a1791620 |
12 | 255521200 |
13 | 13a845050 |
14 | a02351a8 |
15 | 629b3500 |
hex | 3ee735e0 |
1055340000 has 720 divisors, whose sum is σ = 4513292784. Its totient is φ = 230400000.
The previous prime is 1055339983. The next prime is 1055340001. The reversal of 1055340000 is 435501.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×10553400002 = 2227485031200000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1055340001) by changing a digit.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25739980 + ... + 25740020.
Almost surely, 21055340000 is an apocalyptic number.
1055340000 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 1055340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256646392).
1055340000 is an abundant number, since it is smaller than the sum of its proper divisors (3457952784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1055340000 is a wasteful number, since it uses less digits than its factorization.
1055340000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 101 (or 75 counting only the distinct ones).
The product of its (nonzero) digits is 300, while the sum is 18.
The square root of 1055340000 is about 32485.9969833157. The cubic root of 1055340000 is about 1018.1164779112.
Adding to 1055340000 its reverse (435501), we get a palindrome (1055775501).
The spelling of 1055340000 in words is "one billion, fifty-five million, three hundred forty thousand".
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