| Base | Representation |
|---|---|
| bin | 10001011100000… |
| … | …10101101010000 |
| 3 | 101012021011122100 |
| 4 | 20232002231100 |
| 5 | 244422144230 |
| 6 | 22303240400 |
| 7 | 3424264665 |
| oct | 1056025520 |
| 9 | 335234570 |
| 10 | 146287440 |
| 11 | 75636a12 |
| 12 | 40ba9100 |
| 13 | 243cc120 |
| 14 | 155dda6c |
| 15 | cc99660 |
| hex | 8b82b50 |
146287440 has 120 divisors (see below), whose sum is σ = 529106760. Its totient is φ = 36006912.
The previous prime is 146287423. The next prime is 146287451. The reversal of 146287440 is 44782641.
It can be written as a sum of positive squares in 4 ways, for example, as 34012224 + 112275216 = 5832^2 + 10596^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nialpdrome in base 15.
It is a junction number, because it is equal to n+sod(n) for n = 146287395 and 146287404.
It is a congruent number.
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 23 ways as a sum of consecutive naturals, for example, 1546 + ... + 17174.
It is an arithmetic number, because the mean of its divisors is an integer number (4409223).
Almost surely, 2146287440 is an apocalyptic number.
146287440 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 146287440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264553380).
146287440 is an abundant number, since it is smaller than the sum of its proper divisors (382819320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146287440 is a wasteful number, since it uses less digits than its factorization.
146287440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15661 (or 15652 counting only the distinct ones).
The product of its (nonzero) digits is 43008, while the sum is 36.
The square root of 146287440 is about 12094.9344768792. The cubic root of 146287440 is about 526.9090767506.
The spelling of 146287440 in words is "one hundred forty-six million, two hundred eighty-seven thousand, four hundred forty".
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