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4380560 = 245173221
BaseRepresentation
bin10000101101011110010000
322020112222222
4100231132100
52110134220
6233520212
752143212
oct20553620
98215888
104380560
1125221a8
121573068
13ba4b62
148205b2
155b7e25
hex42d790

4380560 has 40 divisors (see below), whose sum is σ = 10787256. Its totient is φ = 1648640.

The previous prime is 4380559. The next prime is 4380589. The reversal of 4380560 is 650834.

It can be written as a sum of positive squares in 4 ways, for example, as 1449616 + 2930944 = 1204^2 + 1712^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251 + ... + 2970.

Almost surely, 24380560 is an apocalyptic number.

4380560 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 4380560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393628).

4380560 is an abundant number, since it is smaller than the sum of its proper divisors (6406696).

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

4380560 is a wasteful number, since it uses less digits than its factorization.

4380560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4380560 is about 2092.9787385447. The cubic root of 4380560 is about 163.6225704797.

The spelling of 4380560 in words is "four million, three hundred eighty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 3221 6442 12884 16105 25768 32210 51536 54757 64420 109514 128840 219028 257680 273785 438056 547570 876112 1095140 2190280 4380560