Base | Representation |
---|---|
bin | 101110111011… |
… | …000001110000 |
3 | 212010220222101 |
4 | 232323001300 |
5 | 11122103100 |
6 | 1115350144 |
7 | 206360140 |
oct | 56730160 |
9 | 25126871 |
10 | 12300400 |
11 | 6a41522 |
12 | 4152354 |
13 | 2718958 |
14 | 18c2920 |
15 | 112e86a |
hex | bbb070 |
12300400 has 120 divisors (see below), whose sum is σ = 35426304. Its totient is φ = 4012800.
The previous prime is 12300383. The next prime is 12300403. The reversal of 12300400 is 400321.
12300400 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 (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12300403) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64305 + ... + 64495.
Almost surely, 212300400 is an apocalyptic number.
12300400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713152).
12300400 is an abundant number, since it is smaller than the sum of its proper divisors (23125904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12300400 is a wasteful number, since it uses less digits than its factorization.
12300400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 239 (or 228 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 12300400 is about 3507.1926094813. The cubic root of 12300400 is about 230.8375262249.
Adding to 12300400 its reverse (400321), we get a palindrome (12700721).
The spelling of 12300400 in words is "twelve million, three hundred thousand, four hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.070 sec. • engine limits •