Base | Representation |
---|---|
bin | 10001010010010… |
… | …00111110110100 |
3 | 101002211212221000 |
4 | 20221020332310 |
5 | 244110034140 |
6 | 22215523300 |
7 | 3410333403 |
oct | 1051107664 |
9 | 332755830 |
10 | 145002420 |
11 | 74939512 |
12 | 40689530 |
13 | 2406c264 |
14 | 1538763a |
15 | cae3a30 |
hex | 8a48fb4 |
145002420 has 96 divisors (see below), whose sum is σ = 453277440. Its totient is φ = 38482560.
The previous prime is 145002337. The next prime is 145002421. The reversal of 145002420 is 24200541.
145002420 is digitally balanced in base 3, because in such base 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 (18).
It is a junction number, because it is equal to n+sod(n) for n = 145002393 and 145002402.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (145002421) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 141510 + ... + 142530.
It is an arithmetic number, because the mean of its divisors is an integer number (4721640).
Almost surely, 2145002420 is an apocalyptic number.
145002420 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 145002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226638720).
145002420 is an abundant number, since it is smaller than the sum of its proper divisors (308275020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145002420 is a wasteful number, since it uses less digits than its factorization.
145002420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1302 (or 1294 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 18.
The square root of 145002420 is about 12041.6950634037. The cubic root of 145002420 is about 525.3617099187.
Adding to 145002420 its reverse (24200541), we get a palindrome (169202961).
The spelling of 145002420 in words is "one hundred forty-five million, two thousand, four hundred twenty".
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