Base | Representation |
---|---|
bin | 10001110110100… |
… | …01000111000000 |
3 | 101102210022021201 |
4 | 20323101013000 |
5 | 301314114204 |
6 | 22505430544 |
7 | 3465614320 |
oct | 1073210700 |
9 | 342708251 |
10 | 149754304 |
11 | 77594697 |
12 | 4219b454 |
13 | 2504411b |
14 | 15c63280 |
15 | d2319a4 |
hex | 8ed11c0 |
149754304 has 112 divisors (see below), whose sum is σ = 360493056. Its totient is φ = 60364800.
The previous prime is 149754299. The next prime is 149754307. The reversal of 149754304 is 403457941.
149754304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (112).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (149754307) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569277 + ... + 569539.
It is an arithmetic number, because the mean of its divisors is an integer number (3218688).
Almost surely, 2149754304 is an apocalyptic number.
149754304 is a gapful number since it is divisible by the number (14) 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 149754304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180246528).
149754304 is an abundant number, since it is smaller than the sum of its proper divisors (210738752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149754304 is a wasteful number, since it uses less digits than its factorization.
149754304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 354 (or 344 counting only the distinct ones).
The product of its (nonzero) digits is 60480, while the sum is 37.
The square root of 149754304 is about 12237.4141059294. The cubic root of 149754304 is about 531.0390249879.
The spelling of 149754304 in words is "one hundred forty-nine million, seven hundred fifty-four thousand, three hundred four".
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