Base | Representation |
---|---|
bin | 10001100001010… |
… | …01010001010000 |
3 | 101020112211111111 |
4 | 20300221101100 |
5 | 300111012210 |
6 | 22330023104 |
7 | 3433136014 |
oct | 1060512120 |
9 | 336484444 |
10 | 146969680 |
11 | 75a62550 |
12 | 41277a94 |
13 | 245aa810 |
14 | 1573a544 |
15 | cd8188a |
hex | 8c29450 |
146969680 has 160 divisors (see below), whose sum is σ = 416223360. Its totient is φ = 47523840.
The previous prime is 146969663. The next prime is 146969687. The reversal of 146969680 is 86969641.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (146969687) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331539 + ... + 331981.
It is an arithmetic number, because the mean of its divisors is an integer number (2601396).
Almost surely, 2146969680 is an apocalyptic number.
146969680 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 146969680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208111680).
146969680 is an abundant number, since it is smaller than the sum of its proper divisors (269253680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146969680 is a wasteful number, since it uses less digits than its factorization.
146969680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 509 (or 503 counting only the distinct ones).
The product of its (nonzero) digits is 559872, while the sum is 49.
The square root of 146969680 is about 12123.1052127745. The cubic root of 146969680 is about 527.7269210789.
The spelling of 146969680 in words is "one hundred forty-six million, nine hundred sixty-nine thousand, six hundred eighty".
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