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3064560 = 24351132
BaseRepresentation
bin1011101100001011110000
312202200210020
423230023300
51241031220
6145403440
735022402
oct13541360
95680706
103064560
1118034a4
121039580
13833b65
1459ab72
15408040
hex2ec2f0

3064560 has 60 divisors (see below), whose sum is σ = 9584952. Its totient is φ = 809984.

The previous prime is 3064531. The next prime is 3064561. The reversal of 3064560 is 654603.

3064560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3064560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3064561) 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 11 ways as a sum of consecutive naturals, for example, 27064 + ... + 27176.

Almost surely, 23064560 is an apocalyptic number.

3064560 is a gapful number since it is divisible by the number (30) 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 3064560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792476).

3064560 is an abundant number, since it is smaller than the sum of its proper divisors (6520392).

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

3064560 is a wasteful number, since it uses less digits than its factorization.

3064560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3064560 is about 1750.5884724858. The cubic root of 3064560 is about 145.2521968537.

Multiplying 3064560 by its product of nonzero digits (2160), we get a square (6619449600 = 813602).

The spelling of 3064560 in words is "three million, sixty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 5424 6780 9040 12769 13560 25538 27120 38307 51076 63845 76614 102152 127690 153228 191535 204304 255380 306456 383070 510760 612912 766140 1021520 1532280 3064560