Base | Representation |
---|---|
bin | 111001011111… |
… | …0011011000100 |
3 | 2002201021110000 |
4 | 1302332123010 |
5 | 30203440400 |
6 | 2554001300 |
7 | 514121004 |
oct | 162763304 |
9 | 62637400 |
10 | 30140100 |
11 | 16016781 |
12 | a116230 |
13 | 63239a3 |
14 | 4008004 |
15 | 29a5600 |
hex | 1cbe6c4 |
30140100 has 135 divisors (see below), whose sum is σ = 99330231. Its totient is φ = 7905600.
The previous prime is 30140069. The next prime is 30140101. The reversal of 30140100 is 104103.
The square root of 30140100 is 5490.
It is a perfect power (a square), and thus also a powerful number.
30140100 is nontrivially palindromic in base 14.
It can be written as a sum of positive squares in 4 ways, for example, as 13883076 + 16257024 = 3726^2 + 4032^2 .
It is a tau number, because it is divible by the number of its divisors (135).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (30140101) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 494070 + ... + 494130.
Almost surely, 230140100 is an apocalyptic number.
30140100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
30140100 is the 5490-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 30140100
30140100 is an abundant number, since it is smaller than the sum of its proper divisors (69190131).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30140100 is a wasteful number, since it uses less digits than its factorization.
30140100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 148 (or 71 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The cubic root of 30140100 is about 311.2061921215.
Adding to 30140100 its reverse (104103), we get a palindrome (30244203).
It can be divided in two parts, 301 and 40100, that added together give a square (40401 = 2012).
The spelling of 30140100 in words is "thirty million, one hundred forty thousand, one hundred".
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