Base | Representation |
---|---|
bin | 10001011001000… |
… | …01001110000000 |
3 | 101011111212220000 |
4 | 20230201032000 |
5 | 244321410003 |
6 | 22250520000 |
7 | 3421012551 |
oct | 1054411600 |
9 | 334455800 |
10 | 145888128 |
11 | 75393a01 |
12 | 40a36000 |
13 | 242bc449 |
14 | 15538328 |
15 | cc1b1a3 |
hex | 8b21380 |
145888128 has 80 divisors (see below), whose sum is σ = 434191560. Its totient is φ = 48625920.
The previous prime is 145888123. The next prime is 145888129. The reversal of 145888128 is 821888541.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (145888123) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3333 + ... + 17403.
Almost surely, 2145888128 is an apocalyptic number.
145888128 is a gapful number since it is divisible by the number (18) 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 145888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217095780).
145888128 is an abundant number, since it is smaller than the sum of its proper divisors (288303432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145888128 is an equidigital number, since it uses as much as digits as its factorization.
145888128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14097 (or 14076 counting only the distinct ones).
The product of its digits is 163840, while the sum is 45.
The square root of 145888128 is about 12078.4157901606. The cubic root of 145888128 is about 526.4292158961.
The spelling of 145888128 in words is "one hundred forty-five million, eight hundred eighty-eight thousand, one hundred twenty-eight".
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