Base | Representation |
---|---|
bin | 10001011101001… |
… | …10011000000100 |
3 | 101012112121001110 |
4 | 20232212120010 |
5 | 244441333130 |
6 | 22310325020 |
7 | 3425443641 |
oct | 1056463004 |
9 | 335477043 |
10 | 146433540 |
11 | 75726760 |
12 | 41059770 |
13 | 24450786 |
14 | 1563adc8 |
15 | ccc7ab0 |
hex | 8ba6604 |
146433540 has 96 divisors (see below), whose sum is σ = 451067904. Its totient is φ = 35199360.
The previous prime is 146433517. The next prime is 146433583. The reversal of 146433540 is 45334641.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 146433498 and 146433507.
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 31 ways as a sum of consecutive naturals, for example, 82947 + ... + 84693.
It is an arithmetic number, because the mean of its divisors is an integer number (4698624).
Almost surely, 2146433540 is an apocalyptic number.
146433540 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 146433540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225533952).
146433540 is an abundant number, since it is smaller than the sum of its proper divisors (304634364).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146433540 is a wasteful number, since it uses less digits than its factorization.
146433540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1897 (or 1895 counting only the distinct ones).
The product of its (nonzero) digits is 17280, while the sum is 30.
The square root of 146433540 is about 12100.9726881768. The cubic root of 146433540 is about 527.0844297012.
The spelling of 146433540 in words is "one hundred forty-six million, four hundred thirty-three thousand, five hundred forty".
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