Base | Representation |
---|---|
bin | 10001110111100… |
… | …11011010000000 |
3 | 101110001102222200 |
4 | 20323303122000 |
5 | 301333113114 |
6 | 22512433200 |
7 | 3500041014 |
oct | 1073633200 |
9 | 343042880 |
10 | 149894784 |
11 | 77680196 |
12 | 42248800 |
13 | 25093050 |
14 | 15c9c544 |
15 | d25d409 |
hex | 8ef3680 |
149894784 has 96 divisors (see below), whose sum is σ = 464564100. Its totient is φ = 46116864.
The previous prime is 149894753. The next prime is 149894803. The reversal of 149894784 is 487498941.
It can be written as a sum of positive squares in 2 ways, for example, as 145733184 + 4161600 = 12072^2 + 2040^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a self number, because there is not a number n which added to its sum of digits gives 149894784.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9972 + ... + 19980.
Almost surely, 2149894784 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 149894784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232282050).
149894784 is an abundant number, since it is smaller than the sum of its proper divisors (314669316).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149894784 is a wasteful number, since it uses less digits than its factorization.
149894784 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10042 (or 10027 counting only the distinct ones).
The product of its digits is 2322432, while the sum is 54.
The square root of 149894784 is about 12243.1525351929. The cubic root of 149894784 is about 531.2050236618.
The spelling of 149894784 in words is "one hundred forty-nine million, eight hundred ninety-four thousand, seven hundred eighty-four".
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