Search a number
-
+
5605080 = 2335133593
BaseRepresentation
bin10101011000011011011000
3101112202201120
4111120123120
52413330310
6320045240
765433225
oct25303330
911482646
105605080
1131891a8
121a63820
131213320
14a5c94c
1575ab70
hex5586d8

5605080 has 64 divisors (see below), whose sum is σ = 18113760. Its totient is φ = 1379328.

The previous prime is 5605051. The next prime is 5605099. The reversal of 5605080 is 805065.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5605080.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 237 + ... + 3356.

Almost surely, 25605080 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 5605080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9056880).

5605080 is an abundant number, since it is smaller than the sum of its proper divisors (12508680).

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

5605080 is a wasteful number, since it uses less digits than its factorization.

5605080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5605080 is about 2367.5050158342. The cubic root of 5605080 is about 177.6344811713.

The spelling of 5605080 in words is "five million, six hundred five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 3593 7186 10779 14372 17965 21558 28744 35930 43116 46709 53895 71860 86232 93418 107790 140127 143720 186836 215580 233545 280254 373672 431160 467090 560508 700635 934180 1121016 1401270 1868360 2802540 5605080