Search a number
-
+
2928020 = 225281521
BaseRepresentation
bin1011001010110110010100
312111202111012
423022312110
51222144040
6142431352
733613334
oct13126624
95452435
102928020
11171a957
12b92558
137b6974
145630c4
153cc865
hex2cad94

2928020 has 24 divisors (see below), whose sum is σ = 6182568. Its totient is φ = 1164800.

The previous prime is 2928019. The next prime is 2928049. The reversal of 2928020 is 208292.

2928020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 258064 + 2669956 = 508^2 + 1634^2 .

It is a super-2 number, since 2×29280202 = 17146602240800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 5360 + ... + 5880.

It is an arithmetic number, because the mean of its divisors is an integer number (257607).

22928020 is an apocalyptic number.

2928020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2928020 is an abundant number, since it is smaller than the sum of its proper divisors (3254548).

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

2928020 is a wasteful number, since it uses less digits than its factorization.

2928020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2928020 is about 1711.1458149439. The cubic root of 2928020 is about 143.0621276328.

The spelling of 2928020 in words is "two million, nine hundred twenty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 281 521 562 1042 1124 1405 2084 2605 2810 5210 5620 10420 146401 292802 585604 732005 1464010 2928020