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4230560 = 255137193
BaseRepresentation
bin10000001000110110100000
321221221020102
4100020312200
52040334220
6230401532
750646665
oct20106640
97857212
104230560
11242a534
1215002a8
13b517b9
147c1a6c
15588775
hex408da0

4230560 has 48 divisors (see below), whose sum is σ = 10119816. Its totient is φ = 1671168.

The previous prime is 4230493. The next prime is 4230571. The reversal of 4230560 is 650324.

It can be written as a sum of positive squares in 4 ways, for example, as 3055504 + 1175056 = 1748^2 + 1084^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 411 + 215 + 37 + 0 + 5 + 64 + 0 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21824 + ... + 22016.

Almost surely, 24230560 is an apocalyptic number.

4230560 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 4230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059908).

4230560 is an abundant number, since it is smaller than the sum of its proper divisors (5889256).

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

4230560 is a wasteful number, since it uses less digits than its factorization.

4230560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 4230560 is about 2056.8325162735. The cubic root of 4230560 is about 161.7332397847.

Adding to 4230560 its reverse (650324), we get a palindrome (4880884).

The spelling of 4230560 in words is "four million, two hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 193 274 386 548 685 772 965 1096 1370 1544 1930 2192 2740 3088 3860 4384 5480 6176 7720 10960 15440 21920 26441 30880 52882 105764 132205 211528 264410 423056 528820 846112 1057640 2115280 4230560