Base | Representation |
---|---|
bin | 10001011001111… |
… | …00101100000000 |
3 | 101011201121020010 |
4 | 20230330230000 |
5 | 244334010030 |
6 | 22253144520 |
7 | 3421661562 |
oct | 1054745400 |
9 | 334647203 |
10 | 146000640 |
11 | 75460495 |
12 | 40a8b140 |
13 | 2432b716 |
14 | 15567332 |
15 | cc3e6b0 |
hex | 8b3cb00 |
146000640 has 144 divisors (see below), whose sum is σ = 471084768. Its totient is φ = 38535168.
The previous prime is 146000639. The next prime is 146000653. The reversal of 146000640 is 46000641.
It is an unprimeable number.
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, 741022 + ... + 741218.
It is an arithmetic number, because the mean of its divisors is an integer number (3271422).
Almost surely, 2146000640 is an apocalyptic number.
146000640 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 146000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235542384).
146000640 is an abundant number, since it is smaller than the sum of its proper divisors (325084128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146000640 is a wasteful number, since it uses less digits than its factorization.
146000640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 414 (or 400 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
The square root of 146000640 is about 12083.0724569540. The cubic root of 146000640 is about 526.5645122242.
Subtracting from 146000640 its reverse (46000641), we obtain a palindrome (99999999).
The spelling of 146000640 in words is "one hundred forty-six million, six hundred forty", and thus it is an aban number.
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