Base | Representation |
---|---|
bin | 111011110010101… |
… | …001010001100100 |
3 | 2120220120101102012 |
4 | 323302221101210 |
5 | 4023300211004 |
6 | 243312333352 |
7 | 33600324050 |
oct | 7362512144 |
9 | 2526511365 |
10 | 1003132004 |
11 | 475272a16 |
12 | 23bb44258 |
13 | 12ca95944 |
14 | 97324c60 |
15 | 5d0ee46e |
hex | 3bca9464 |
1003132004 has 24 divisors (see below), whose sum is σ = 2006961600. Its totient is φ = 429764256.
The previous prime is 1003132001. The next prime is 1003132019. The reversal of 1003132004 is 4002313001.
1003132004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a self number, because there is not a number n which added to its sum of digits gives 1003132004.
It is not an unprimeable number, because it can be changed into a prime (1003132001) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122222 + ... + 130170.
It is an arithmetic number, because the mean of its divisors is an integer number (83623400).
Almost surely, 21003132004 is an apocalyptic number.
1003132004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
1003132004 is an abundant number, since it is smaller than the sum of its proper divisors (1003829596).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003132004 is a wasteful number, since it uses less digits than its factorization.
1003132004 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12467 (or 12465 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 1003132004 is about 31672.2592184391. The cubic root of 1003132004 is about 1001.0429132871.
Adding to 1003132004 its reverse (4002313001), we get a palindrome (5005445005).
The spelling of 1003132004 in words is "one billion, three million, one hundred thirty-two thousand, four".
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