Search a number
-
+
5338560 = 26356783
BaseRepresentation
bin10100010111010111000000
3101001020010110
4110113113000
52331313220
6310231320
763243213
oct24272700
911036113
105338560
113016a37
121955540
13114bc16
149cd77a
15706be0
hex5175c0

5338560 has 112 divisors (see below), whose sum is σ = 17410176. Its totient is φ = 1385472.

The previous prime is 5338549. The next prime is 5338577. The reversal of 5338560 is 658335.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 64279 + ... + 64361.

It is an arithmetic number, because the mean of its divisors is an integer number (155448).

Almost surely, 25338560 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 5338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8705088).

5338560 is an abundant number, since it is smaller than the sum of its proper divisors (12071616).

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

5338560 is a wasteful number, since it uses less digits than its factorization.

5338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 5338560 is about 2310.5324061783. The cubic root of 5338560 is about 174.7731482370.

The spelling of 5338560 in words is "five million, three hundred thirty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 83 96 120 134 160 166 192 201 240 249 268 320 332 335 402 415 480 498 536 664 670 804 830 960 996 1005 1072 1245 1328 1340 1608 1660 1992 2010 2144 2490 2656 2680 3216 3320 3984 4020 4288 4980 5312 5360 5561 6432 6640 7968 8040 9960 10720 11122 12864 13280 15936 16080 16683 19920 21440 22244 26560 27805 32160 33366 39840 44488 55610 64320 66732 79680 83415 88976 111220 133464 166830 177952 222440 266928 333660 355904 444880 533856 667320 889760 1067712 1334640 1779520 2669280 5338560