Base | Representation |
---|---|
bin | 100111010010… |
… | …101010000000 |
3 | 201101021222200 |
4 | 213102222000 |
5 | 10114100112 |
6 | 1004433200 |
7 | 153356151 |
oct | 47225200 |
9 | 21337880 |
10 | 10300032 |
11 | 58a5626 |
12 | 3548800 |
13 | 21982c2 |
14 | 1521928 |
15 | d86cdc |
hex | 9d2a80 |
10300032 has 48 divisors (see below), whose sum is σ = 29642730. Its totient is φ = 3432960.
The previous prime is 10300013. The next prime is 10300093. The reversal of 10300032 is 23000301.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 8156736 + 2143296 = 2856^2 + 1464^2 .
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 10299987 and 10300023.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3319 + ... + 5622.
Almost surely, 210300032 is an apocalyptic number.
10300032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
10300032 is an abundant number, since it is smaller than the sum of its proper divisors (19342698).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10300032 is an equidigital number, since it uses as much as digits as its factorization.
10300032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8961 (or 8946 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 9.
The square root of 10300032 is about 3209.3662925880. The cubic root of 10300032 is about 217.5769367136.
Adding to 10300032 its reverse (23000301), we get a palindrome (33300333).
The spelling of 10300032 in words is "ten million, three hundred thousand, thirty-two".
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