Search a number
-
+
5397840 = 243457217
BaseRepresentation
bin10100100101110101010000
3101011020110000
4110211311100
52340212330
6311410000
763611100
oct24456520
911136400
105397840
113057528
121983900
13116cbb6
14a07200
15719560
hex525d50

5397840 has 300 divisors, whose sum is σ = 23091156. Its totient is φ = 1161216.

The previous prime is 5397811. The next prime is 5397841. The reversal of 5397840 is 487935.

It can be written as a sum of positive squares in 2 ways, for example, as 3111696 + 2286144 = 1764^2 + 1512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5397795 and 5397804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5397841) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 317512 + ... + 317528.

Almost surely, 25397840 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 5397840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11545578).

5397840 is an abundant number, since it is smaller than the sum of its proper divisors (17693316).

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

5397840 is a wasteful number, since it uses less digits than its factorization.

5397840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5397840 is about 2323.3252032378. The cubic root of 5397840 is about 175.4176690312.

The spelling of 5397840 in words is "five million, three hundred ninety-seven thousand, eight hundred forty".