Base | Representation |
---|---|
bin | 10001011010000… |
… | …10011111000000 |
3 | 101011202210210112 |
4 | 20231002133000 |
5 | 244340240014 |
6 | 22253450452 |
7 | 3422121032 |
oct | 1055023700 |
9 | 334683715 |
10 | 146024384 |
11 | 75477310 |
12 | 40aa0a28 |
13 | 2433947c |
14 | 15571c52 |
15 | cc4673e |
hex | 8b427c0 |
146024384 has 56 divisors (see below), whose sum is σ = 326355456. Its totient is φ = 64224000.
The previous prime is 146024383. The next prime is 146024387. The reversal of 146024384 is 483420641.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 146024384.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (146024383) 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 7 ways as a sum of consecutive naturals, for example, 18479 + ... + 25169.
It is an arithmetic number, because the mean of its divisors is an integer number (5827776).
Almost surely, 2146024384 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 146024384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163177728).
146024384 is an abundant number, since it is smaller than the sum of its proper divisors (180331072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146024384 is a wasteful number, since it uses less digits than its factorization.
146024384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6745 (or 6735 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 32.
The square root of 146024384 is about 12084.0549485676. The cubic root of 146024384 is about 526.5930556381.
The spelling of 146024384 in words is "one hundred forty-six million, twenty-four thousand, three hundred eighty-four".
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