Base | Representation |
---|---|
bin | 10001100000000… |
… | …00000000000000 |
3 | 101020020020121202 |
4 | 20300000000000 |
5 | 300040110030 |
6 | 22322240332 |
7 | 3431533130 |
oct | 1060000000 |
9 | 336206552 |
10 | 146800640 |
11 | 75957548 |
12 | 411b60a8 |
13 | 2454b8ac |
14 | 156d4ac0 |
15 | cd4b745 |
hex | 8c00000 |
146800640 has 92 divisors (see below), whose sum is σ = 402653136. Its totient is φ = 50331648.
The previous prime is 146800637. The next prime is 146800649. The reversal of 146800640 is 46008641.
It is not an unprimeable number, because it can be changed into a prime (146800649) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20971517 + ... + 20971523.
Almost surely, 2146800640 is an apocalyptic number.
146800640 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 146800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201326568).
146800640 is an abundant number, since it is smaller than the sum of its proper divisors (255852496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146800640 is an frugal number, since it uses more digits than its factorization.
146800640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56 (or 14 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 29.
The square root of 146800640 is about 12116.1313957880. The cubic root of 146800640 is about 527.5245183755.
The spelling of 146800640 in words is "one hundred forty-six million, eight hundred thousand, six hundred forty".
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