Base | Representation |
---|---|
bin | 10001110110011… |
… | …00111110010000 |
3 | 101102202110001011 |
4 | 20323030332100 |
5 | 301313043420 |
6 | 22505220304 |
7 | 3465514033 |
oct | 1073147620 |
9 | 342673034 |
10 | 149737360 |
11 | 77582993 |
12 | 42191694 |
13 | 250394b6 |
14 | 15c5b01a |
15 | d22b95a |
hex | 8eccf90 |
149737360 has 80 divisors (see below), whose sum is σ = 384725376. Its totient is φ = 53909504.
The previous prime is 149737319. The next prime is 149737361. The reversal of 149737360 is 63737941.
149737360 is digitally balanced in base 2, 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 (80).
It is a Harshad number since it is a multiple of its sum of digits (40).
It is not an unprimeable number, because it can be changed into a prime (149737361) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28887 + ... + 33673.
Almost surely, 2149737360 is an apocalyptic number.
149737360 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 149737360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192362688).
149737360 is an abundant number, since it is smaller than the sum of its proper divisors (234988016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149737360 is a wasteful number, since it uses less digits than its factorization.
149737360 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4840 (or 4834 counting only the distinct ones).
The product of its (nonzero) digits is 95256, while the sum is 40.
The square root of 149737360 is about 12236.7217832228. The cubic root of 149737360 is about 531.0189960375.
The spelling of 149737360 in words is "one hundred forty-nine million, seven hundred thirty-seven thousand, three hundred sixty".
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