Base | Representation |
---|---|
bin | 10001011101010… |
… | …01100110000000 |
3 | 101012120021010121 |
4 | 20232221212000 |
5 | 244442243340 |
6 | 22310510024 |
7 | 3425530240 |
oct | 1056514600 |
9 | 335507117 |
10 | 146446720 |
11 | 75735652 |
12 | 41065314 |
13 | 24456784 |
14 | 15641b20 |
15 | cccb94a |
hex | 8ba9980 |
146446720 has 128 divisors (see below), whose sum is σ = 405437760. Its totient is φ = 49545216.
The previous prime is 146446693. The next prime is 146446747. The reversal of 146446720 is 27644641.
It is an interprime number because it is at equal distance from previous prime (146446693) and next prime (146446747).
It is a tau number, because it is divible by the number of its divisors (128).
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 15 ways as a sum of consecutive naturals, for example, 434392 + ... + 434728.
Almost surely, 2146446720 is an apocalyptic number.
146446720 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 146446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202718880).
146446720 is an abundant number, since it is smaller than the sum of its proper divisors (258991040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146446720 is an equidigital number, since it uses as much as digits as its factorization.
146446720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 460 (or 448 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 34.
The square root of 146446720 is about 12101.5172602447. The cubic root of 146446720 is about 527.1002429372.
It can be divided in two parts, 1464 and 46720, that added together give a palindrome (48184).
The spelling of 146446720 in words is "one hundred forty-six million, four hundred forty-six thousand, seven hundred twenty".
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