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5880320 = 2952297
BaseRepresentation
bin10110011011101000000000
3102001202021122
4112123220000
53001132240
6330011412
7100660535
oct26335000
912052248
105880320
113356a76
121b76b68
1312ab6a4
14ad0d8c
157b24b5
hex59ba00

5880320 has 40 divisors (see below), whose sum is σ = 14105124. Its totient is φ = 2351104.

The previous prime is 5880307. The next prime is 5880323. The reversal of 5880320 is 230885.

It can be written as a sum of positive squares in 2 ways, for example, as 5837056 + 43264 = 2416^2 + 208^2 .

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5880320.

It is not an unprimeable number, because it can be changed into a prime (5880323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1412 + ... + 3708.

Almost surely, 25880320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052562).

5880320 is an abundant number, since it is smaller than the sum of its proper divisors (8224804).

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

5880320 is an equidigital number, since it uses as much as digits as its factorization.

5880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 5880320 is about 2424.9371125866. The cubic root of 5880320 is about 180.4957526951.

The spelling of 5880320 in words is "five million, eight hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2297 2560 4594 9188 11485 18376 22970 36752 45940 73504 91880 147008 183760 294016 367520 588032 735040 1176064 1470080 2940160 5880320