Base | Representation |
---|---|
bin | 10001101000001010100000 |
3 | 22200202202200 |
4 | 101220022200 |
5 | 2140332320 |
6 | 243013200 |
7 | 54164121 |
oct | 21501240 |
9 | 8622680 |
10 | 4620960 |
11 | 2676883 |
12 | 166a200 |
13 | c5a3c6 |
14 | 884048 |
15 | 614290 |
hex | 4682a0 |
4620960 has 72 divisors (see below), whose sum is σ = 15773940. Its totient is φ = 1231872.
The previous prime is 4620943. The next prime is 4620961. The reversal of 4620960 is 690264.
It can be written as a sum of positive squares in 2 ways, for example, as 4613904 + 7056 = 2148^2 + 84^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is not an unprimeable number, because it can be changed into a prime (4620961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165 + ... + 3044.
Almost surely, 24620960 is an apocalyptic number.
4620960 is a gapful number since it is divisible by the number (40) 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 4620960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7886970).
4620960 is an abundant number, since it is smaller than the sum of its proper divisors (11152980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4620960 is a wasteful number, since it uses less digits than its factorization.
4620960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3230 (or 3219 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
The square root of 4620960 is about 2149.6418306313. The cubic root of 4620960 is about 166.5625661031.
The spelling of 4620960 in words is "four million, six hundred twenty thousand, nine hundred sixty".
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