| Base | Representation |
|---|---|
| bin | 10001011110001… |
| … | …10001100100000 |
| 3 | 101012210012211120 |
| 4 | 20233012030200 |
| 5 | 300010020442 |
| 6 | 22313212240 |
| 7 | 3426525630 |
| oct | 1057061440 |
| 9 | 335705746 |
| 10 | 146563872 |
| 11 | 75805674 |
| 12 | 41101080 |
| 13 | 24497bb0 |
| 14 | 156726c0 |
| 15 | cd014ec |
| hex | 8bc6320 |
146563872 has 192 divisors, whose sum is σ = 499000320. Its totient is φ = 36578304.
The previous prime is 146563871. The next prime is 146563873. The reversal of 146563872 is 278365641.
It is an interprime number because it is at equal distance from previous prime (146563871) and next prime (146563873).
It is a Harshad number since it is a multiple of its sum of digits (42).
It is not an unprimeable number, because it can be changed into a prime (146563871) 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 31 ways as a sum of consecutive naturals, for example, 165543 + ... + 166425.
It is an arithmetic number, because the mean of its divisors is an integer number (2598960).
Almost surely, 2146563872 is an apocalyptic number.
146563872 is a gapful number since it is divisible by the number (12) 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 146563872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249500160).
146563872 is an abundant number, since it is smaller than the sum of its proper divisors (352436448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146563872 is a wasteful number, since it uses less digits than its factorization.
146563872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 935 (or 927 counting only the distinct ones).
The product of its digits is 241920, while the sum is 42.
The square root of 146563872 is about 12106.3566773823. The cubic root of 146563872 is about 527.2407590895.
It can be divided in two parts, 14656 and 3872, that added together give a triangular number (18528 = T192).
The spelling of 146563872 in words is "one hundred forty-six million, five hundred sixty-three thousand, eight hundred seventy-two".
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