Search a number
-
+
4682080 = 255132251
BaseRepresentation
bin10001110111000101100000
322210212121101
4101313011200
52144311310
6244204144
754540244
oct21670540
98725541
104682080
112708797
121699654
13c7c180
1489c424
1562743a
hex477160

4682080 has 48 divisors (see below), whose sum is σ = 11917584. Its totient is φ = 1728000.

The previous prime is 4682059. The next prime is 4682081. The reversal of 4682080 is 802864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4682081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 955 + ... + 3205.

It is an arithmetic number, because the mean of its divisors is an integer number (248283).

Almost surely, 24682080 is an apocalyptic number.

4682080 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 4682080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958792).

4682080 is an abundant number, since it is smaller than the sum of its proper divisors (7235504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4682080 is a wasteful number, since it uses less digits than its factorization.

4682080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 4682080 is about 2163.8114520447. The cubic root of 4682080 is about 167.2937090596.

The spelling of 4682080 in words is "four million, six hundred eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2251 4502 9004 11255 18008 22510 29263 36016 45020 58526 72032 90040 117052 146315 180080 234104 292630 360160 468208 585260 936416 1170520 2341040 4682080