Base | Representation |
---|---|
bin | 111101101110100… |
… | …000000010011110 |
3 | 2200011122221011200 |
4 | 331232200002132 |
5 | 4110103200110 |
6 | 250432300330 |
7 | 34443312033 |
oct | 7556400236 |
9 | 2604587150 |
10 | 1035600030 |
11 | 4916296a3 |
12 | 24a9a16a6 |
13 | 1367230aa |
14 | 9b77738a |
15 | 60db46c0 |
hex | 3dba009e |
1035600030 has 96 divisors (see below), whose sum is σ = 2777078304. Its totient is φ = 267556608.
The previous prime is 1035600023. The next prime is 1035600077. The reversal of 1035600030 is 300065301.
1035600030 is a `hidden beast` number, since 1 + 0 + 35 + 600 + 0 + 30 = 666.
1035600030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×10356000303 (a number of 28 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1035599976 and 1035600012.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021804 + ... + 1022816.
It is an arithmetic number, because the mean of its divisors is an integer number (28927899).
Almost surely, 21035600030 is an apocalyptic number.
1035600030 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 1035600030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388539152).
1035600030 is an abundant number, since it is smaller than the sum of its proper divisors (1741478274).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1035600030 is a wasteful number, since it uses less digits than its factorization.
1035600030 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1370 (or 1367 counting only the distinct ones).
The product of its (nonzero) digits is 270, while the sum is 18.
The square root of 1035600030 is about 32180.7400474259. The cubic root of 1035600030 is about 1011.7285793015.
Adding to 1035600030 its reverse (300065301), we get a palindrome (1335665331).
The spelling of 1035600030 in words is "one billion, thirty-five million, six hundred thousand, thirty".
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