Base | Representation |
---|---|
bin | 100111010011… |
… | …101001100100 |
3 | 201101111120100 |
4 | 213103221210 |
5 | 10114212400 |
6 | 1004504100 |
7 | 153404052 |
oct | 47235144 |
9 | 21344510 |
10 | 10304100 |
11 | 58a8694 |
12 | 354b030 |
13 | 219a101 |
14 | 15231d2 |
15 | d88100 |
hex | 9d3a64 |
10304100 has 81 divisors (see below), whose sum is σ = 32602297. Its totient is φ = 2722080.
The previous prime is 10304083. The next prime is 10304111. The reversal of 10304100 is 140301.
The square root of 10304100 is 3210.
It is a perfect power (a square), and thus also a powerful number.
10304100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 3709476 + 6594624 = 1926^2 + 2568^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a Duffinian number.
It is a nialpdrome in base 15.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96247 + ... + 96353.
Almost surely, 210304100 is an apocalyptic number.
10304100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
10304100 is the 3210-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10304100
10304100 is an abundant number, since it is smaller than the sum of its proper divisors (22298197).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10304100 is a wasteful number, since it uses less digits than its factorization.
10304100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 234 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The cubic root of 10304100 is about 217.6055769638.
Adding to 10304100 its reverse (140301), we get a palindrome (10444401).
It can be divided in two parts, 10304 and 100, that added together give a square (10404 = 1022).
The spelling of 10304100 in words is "ten million, three hundred four thousand, one hundred".
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