Search a number
-
+
5382720 = 26335789
BaseRepresentation
bin10100100010001001000000
3101010110201000
4110202021000
52334221340
6311212000
763516030
oct24421100
911113630
105382720
113047132
121977000
131166055
14a018c0
15714d30
hex522240

5382720 has 224 divisors, whose sum is σ = 21945600. Its totient is φ = 1216512.

The previous prime is 5382691. The next prime is 5382721. The reversal of 5382720 is 272835.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5382721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60436 + ... + 60524.

Almost surely, 25382720 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 5382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972800).

5382720 is an abundant number, since it is smaller than the sum of its proper divisors (16562880).

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

5382720 is a wasteful number, since it uses less digits than its factorization.

5382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5382720 is about 2320.0689644922. The cubic root of 5382720 is about 175.2537271890.

The spelling of 5382720 in words is "five million, three hundred eighty-two thousand, seven hundred twenty".