| Base | Representation |
|---|---|
| bin | 10010000010100… |
| … | …01100000100000 |
| 3 | 101112202022002101 |
| 4 | 21001101200200 |
| 5 | 302220010200 |
| 6 | 23003300144 |
| 7 | 3515162560 |
| oct | 1101214040 |
| 9 | 345668071 |
| 10 | 151328800 |
| 11 | 7846a627 |
| 12 | 4281a654 |
| 13 | 2547598c |
| 14 | 16152da0 |
| 15 | d44326a |
| hex | 9051820 |
151328800 has 144 divisors (see below), whose sum is σ = 430097472. Its totient is φ = 50918400.
The previous prime is 151328789. The next prime is 151328803. The reversal of 151328800 is 8823151.
151328800 is digitally balanced in base 3, 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 (28).
It is not an unprimeable number, because it can be changed into a prime (151328803) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341379 + ... + 341821.
It is an arithmetic number, because the mean of its divisors is an integer number (2986788).
Almost surely, 2151328800 is an apocalyptic number.
151328800 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 151328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215048736).
151328800 is an abundant number, since it is smaller than the sum of its proper divisors (278768672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
151328800 is a wasteful number, since it uses less digits than its factorization.
151328800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 531 (or 518 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 28.
The square root of 151328800 is about 12301.5771346604. The cubic root of 151328800 is about 532.8936306456.
It can be divided in two parts, 15132 and 8800, that added together give a palindrome (23932).
The spelling of 151328800 in words is "one hundred fifty-one million, three hundred twenty-eight thousand, eight hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.069 sec. • engine limits •