Base | Representation |
---|---|
bin | 10001011111001… |
… | …11111100000000 |
3 | 101020001020102101 |
4 | 20233213330000 |
5 | 300023431310 |
6 | 22320200144 |
7 | 3430642600 |
oct | 1057477400 |
9 | 336036371 |
10 | 146702080 |
11 | 7589a498 |
12 | 41169054 |
13 | 24515a85 |
14 | 156aac00 |
15 | cd2c43a |
hex | 8be7f00 |
146702080 has 108 divisors (see below), whose sum is σ = 408943080. Its totient is φ = 50276352.
The previous prime is 146702063. The next prime is 146702089. The reversal of 146702080 is 80207641.
146702080 is digitally balanced in base 2, 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 (28).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (146702089) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61551 + ... + 63889.
It is an arithmetic number, because the mean of its divisors is an integer number (3786510).
Almost surely, 2146702080 is an apocalyptic number.
146702080 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 146702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204471540).
146702080 is an abundant number, since it is smaller than the sum of its proper divisors (262241000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146702080 is an equidigital number, since it uses as much as digits as its factorization.
146702080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2374 (or 2353 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 28.
The square root of 146702080 is about 12112.0634080242. The cubic root of 146702080 is about 527.4064342930.
The spelling of 146702080 in words is "one hundred forty-six million, seven hundred two thousand, eighty".
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