Base | Representation |
---|---|
bin | 10001011011000… |
… | …00001011110000 |
3 | 101011222222200000 |
4 | 20231200023300 |
5 | 244403133112 |
6 | 22300230000 |
7 | 3423135504 |
oct | 1055401360 |
9 | 334888600 |
10 | 146146032 |
11 | 7554a74a |
12 | 40b3b300 |
13 | 2437c956 |
14 | 155a4304 |
15 | cc6c7dc |
hex | 8b602f0 |
146146032 has 60 divisors (see below), whose sum is σ = 424165560. Its totient is φ = 48714048.
The previous prime is 146146027. The next prime is 146146037. The reversal of 146146032 is 230641641.
146146032 is a `hidden beast` number, since 1 + 46 + 14 + 603 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (146146027) and next prime (146146037).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 146145987 and 146146005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (146146037) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 14907 + ... + 22682.
It is an arithmetic number, because the mean of its divisors is an integer number (7069426).
Almost surely, 2146146032 is an apocalyptic number.
146146032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
146146032 is an abundant number, since it is smaller than the sum of its proper divisors (278019528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146146032 is an equidigital number, since it uses as much as digits as its factorization.
146146032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 37612 (or 37594 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 146146032 is about 12089.0873104631. The cubic root of 146146032 is about 526.7392440349.
Adding to 146146032 its reverse (230641641), we get a palindrome (376787673).
The spelling of 146146032 in words is "one hundred forty-six million, one hundred forty-six thousand, thirty-two".
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