Base | Representation |
---|---|
bin | 10001110110011… |
… | …01010110111100 |
3 | 101102202112012200 |
4 | 20323031112330 |
5 | 301313121230 |
6 | 22505231500 |
7 | 3465521451 |
oct | 1073152674 |
9 | 342675180 |
10 | 149738940 |
11 | 7758409a |
12 | 42192590 |
13 | 2503a130 |
14 | 15c5b828 |
15 | d22c160 |
hex | 8ecd5bc |
149738940 has 144 divisors (see below), whose sum is σ = 495331200. Its totient is φ = 36393984.
The previous prime is 149738933. The next prime is 149738951. The reversal of 149738940 is 49837941.
149738940 is digitally balanced in base 3 and base 9, because in such bases 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 (45).
149738940 is strictly pandigital in base 9.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207901 + ... + 208619.
It is an arithmetic number, because the mean of its divisors is an integer number (3439800).
Almost surely, 2149738940 is an apocalyptic number.
149738940 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 149738940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).
149738940 is an abundant number, since it is smaller than the sum of its proper divisors (345592260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149738940 is a wasteful number, since it uses less digits than its factorization.
149738940 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 836 (or 831 counting only the distinct ones).
The product of its (nonzero) digits is 217728, while the sum is 45.
The square root of 149738940 is about 12236.7863428271. The cubic root of 149738940 is about 531.0208637679.
Subtracting from 149738940 its reverse (49837941), we obtain a palindrome (99900999).
The spelling of 149738940 in words is "one hundred forty-nine million, seven hundred thirty-eight thousand, nine hundred forty".
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