Search a number
-
+
5822880 = 253571733
BaseRepresentation
bin10110001101100110100000
3101221211111020
4112031212200
52442313010
6324445440
7100331220
oct26154640
911854436
105822880
1133178a8
121b49880
13128b4bb
14ab8080
157a0470
hex58d9a0

5822880 has 96 divisors (see below), whose sum is σ = 20974464. Its totient is φ = 1330176.

The previous prime is 5822867. The next prime is 5822897. The reversal of 5822880 is 882285.

5822880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2494 + ... + 4226.

It is an arithmetic number, because the mean of its divisors is an integer number (218484).

Almost surely, 25822880 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 5822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10487232).

5822880 is an abundant number, since it is smaller than the sum of its proper divisors (15151584).

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

5822880 is a wasteful number, since it uses less digits than its factorization.

5822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 5822880 is about 2413.0644417421. The cubic root of 5822880 is about 179.9061238884.

The spelling of 5822880 in words is "five million, eight hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 1733 3360 3466 5199 6932 8665 10398 12131 13864 17330 20796 24262 25995 27728 34660 36393 41592 48524 51990 55456 60655 69320 72786 83184 97048 103980 121310 138640 145572 166368 181965 194096 207960 242620 277280 291144 363930 388192 415920 485240 582288 727860 831840 970480 1164576 1455720 1940960 2911440 5822880