Search a number
-
+
5439360 = 27352833
BaseRepresentation
bin10100101111111110000000
3101020100101210
4110233332000
52343024420
6312330120
764143123
oct24577600
911210353
105439360
113085743
1219a3940
131185a74
14a183ba
157269e0
hex52ff80

5439360 has 64 divisors (see below), whose sum is σ = 17344080. Its totient is φ = 1449984.

The previous prime is 5439359. The next prime is 5439361. The reversal of 5439360 is 639345.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5439359) and next prime (5439361).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5439361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504 + ... + 3336.

Almost surely, 25439360 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 5439360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8672040).

5439360 is an abundant number, since it is smaller than the sum of its proper divisors (11904720).

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

5439360 is a wasteful number, since it uses less digits than its factorization.

5439360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 5439360 is about 2332.2435550345. The cubic root of 5439360 is about 175.8662896281.

The spelling of 5439360 in words is "five million, four hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2833 5666 8499 11332 14165 16998 22664 28330 33996 42495 45328 56660 67992 84990 90656 113320 135984 169980 181312 226640 271968 339960 362624 453280 543936 679920 906560 1087872 1359840 1813120 2719680 5439360