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4065520 = 24589571
BaseRepresentation
bin1111100000100011110000
321122112211211
433200203300
52020044040
6223045504
746361554
oct17404360
97575754
104065520
112327538
121440894
13ac4644
1477b864
155548ea
hex3e08f0

4065520 has 40 divisors (see below), whose sum is σ = 9575280. Its totient is φ = 1605120.

The previous prime is 4065517. The next prime is 4065527. The reversal of 4065520 is 255604.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4065491 and 4065500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4065527) 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, 6835 + ... + 7405.

It is an arithmetic number, because the mean of its divisors is an integer number (239382).

Almost surely, 24065520 is an apocalyptic number.

4065520 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 4065520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787640).

4065520 is an abundant number, since it is smaller than the sum of its proper divisors (5509760).

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

4065520 is a wasteful number, since it uses less digits than its factorization.

4065520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 4065520 is about 2016.3134676930. The cubic root of 4065520 is about 159.6021364739.

The spelling of 4065520 in words is "four million, sixty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 571 712 890 1142 1424 1780 2284 2855 3560 4568 5710 7120 9136 11420 22840 45680 50819 101638 203276 254095 406552 508190 813104 1016380 2032760 4065520