Base | Representation |
---|---|
bin | 111011110010001… |
… | …111001010010000 |
3 | 2120220100221200120 |
4 | 323302033022100 |
5 | 4023233300130 |
6 | 243310150240 |
7 | 33566400153 |
oct | 7362171220 |
9 | 2526327616 |
10 | 1003025040 |
11 | 4751aa616 |
12 | 23bab2380 |
13 | 12ca59054 |
14 | 972d7c9a |
15 | 5d0cc910 |
hex | 3bc8f290 |
1003025040 has 80 divisors (see below), whose sum is σ = 3125799936. Its totient is φ = 266060800.
The previous prime is 1003025039. The next prime is 1003025047. The reversal of 1003025040 is 405203001.
1003025040 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 (80).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is not an unprimeable number, because it can be changed into a prime (1003025047) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34900 + ... + 56780.
Almost surely, 21003025040 is an apocalyptic number.
1003025040 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 1003025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562899968).
1003025040 is an abundant number, since it is smaller than the sum of its proper divisors (2122774896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003025040 is a wasteful number, since it uses less digits than its factorization.
1003025040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22088 (or 22082 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 15.
The square root of 1003025040 is about 31670.5705663791. The cubic root of 1003025040 is about 1001.0073316090.
Adding to 1003025040 its reverse (405203001), we get a palindrome (1408228041).
The spelling of 1003025040 in words is "one billion, three million, twenty-five thousand, forty".
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