Base | Representation |
---|---|
bin | 10001011101000… |
… | …11100101010100 |
3 | 101012112000100202 |
4 | 20232203211110 |
5 | 244441001400 |
6 | 22310200032 |
7 | 3425365406 |
oct | 1056434524 |
9 | 335460322 |
10 | 146422100 |
11 | 75719100 |
12 | 41053018 |
13 | 244484c6 |
14 | 15636b76 |
15 | ccc44d5 |
hex | 8ba3954 |
146422100 has 54 divisors (see below), whose sum is σ = 349275822. Its totient is φ = 53240000.
The previous prime is 146422079. The next prime is 146422103. The reversal of 146422100 is 1224641.
It can be written as a sum of positive squares in 3 ways, for example, as 51437584 + 94984516 = 7172^2 + 9746^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (146422103) 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 17 ways as a sum of consecutive naturals, for example, 6050 + ... + 18150.
Almost surely, 2146422100 is an apocalyptic number.
146422100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a pronic number, being equal to 12100×12101.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 146422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174637911).
146422100 is an abundant number, since it is smaller than the sum of its proper divisors (202853722).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146422100 is a wasteful number, since it uses less digits than its factorization.
146422100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12137 (or 12119 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 146422100 is about 12100.4999896698. The cubic root of 146422100 is about 527.0707033311.
Adding to 146422100 its reverse (1224641), we get a palindrome (147646741).
The spelling of 146422100 in words is "one hundred forty-six million, four hundred twenty-two thousand, one hundred".
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