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5385080 = 235612207
BaseRepresentation
bin10100100010101101111000
3101010120221102
4110202231320
52334310310
6311230532
763525641
oct24425570
911116842
105385080
113048988
121978448
13116714c
14a026c8
157158a5
hex522b78

5385080 has 32 divisors (see below), whose sum is σ = 12320640. Its totient is φ = 2117760.

The previous prime is 5385077. The next prime is 5385089. The reversal of 5385080 is 805835.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5385089) 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 7 ways as a sum of consecutive naturals, for example, 1337 + ... + 3543.

It is an arithmetic number, because the mean of its divisors is an integer number (385020).

Almost surely, 25385080 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 5385080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160320).

5385080 is an abundant number, since it is smaller than the sum of its proper divisors (6935560).

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

5385080 is a wasteful number, since it uses less digits than its factorization.

5385080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 5385080 is about 2320.5775143270. The cubic root of 5385080 is about 175.2793361973.

The spelling of 5385080 in words is "five million, three hundred eighty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2207 2440 4414 8828 11035 17656 22070 44140 88280 134627 269254 538508 673135 1077016 1346270 2692540 5385080