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2928040 = 235711031
BaseRepresentation
bin1011001010110110101000
312111202111221
423022312220
51222144130
6142431424
733613363
oct13126650
95452457
102928040
11171a975
12b92574
137b698b
145630da
153cc87a
hex2cada8

2928040 has 32 divisors (see below), whose sum is σ = 6687360. Its totient is φ = 1153600.

The previous prime is 2928019. The next prime is 2928049. The reversal of 2928040 is 408292.

2928040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2927996 and 2928014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928049) by changing a digit.

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, 2325 + ... + 3355.

It is an arithmetic number, because the mean of its divisors is an integer number (208980).

22928040 is an apocalyptic number.

2928040 is a gapful number since it is divisible by the number (20) 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 2928040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343680).

2928040 is an abundant number, since it is smaller than the sum of its proper divisors (3759320).

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

2928040 is a wasteful number, since it uses less digits than its factorization.

2928040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2928040 is about 1711.1516589712. The cubic root of 2928040 is about 143.0624533632.

The spelling of 2928040 in words is "two million, nine hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1031 1420 2062 2840 4124 5155 8248 10310 20620 41240 73201 146402 292804 366005 585608 732010 1464020 2928040