Search a number
-
+
5343920 = 24567997
BaseRepresentation
bin10100011000101010110000
3101001111110222
4110120222300
52332001140
6310312212
763264641
oct24305260
911044428
105343920
11301aa6a
121958668
1311514aa
149d16c8
157085b5
hex518ab0

5343920 has 40 divisors (see below), whose sum is σ = 12622704. Its totient is φ = 2103552.

The previous prime is 5343907. The next prime is 5343929. The reversal of 5343920 is 293435.

It is a tau number, because it is divible by the number of its divisors (40).

It is a d-powerful number, because it can be written as 57 + 312 + 411 + 312 + 94 + 211 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 5343920.

It is not an unprimeable number, because it can be changed into a prime (5343929) 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, 4862 + ... + 5858.

Almost surely, 25343920 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 5343920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311352).

5343920 is an abundant number, since it is smaller than the sum of its proper divisors (7278784).

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

5343920 is a wasteful number, since it uses less digits than its factorization.

5343920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 5343920 is about 2311.6920210097. The cubic root of 5343920 is about 174.8316203551.

The spelling of 5343920 in words is "five million, three hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 997 1072 1340 1994 2680 3988 4985 5360 7976 9970 15952 19940 39880 66799 79760 133598 267196 333995 534392 667990 1068784 1335980 2671960 5343920