Search a number
-
+
5840384 = 29111761
BaseRepresentation
bin10110010001111000000000
3101222201111112
4112101320000
52443343014
6325102452
7100433234
oct26217000
911881445
105840384
113329a70
121b57a28
131296464
14ac05c4
157a573e
hex591e00

5840384 has 80 divisors (see below), whose sum is σ = 13700016. Its totient is φ = 2457600.

The previous prime is 5840371. The next prime is 5840399. The reversal of 5840384 is 4830485.

It is a super-2 number, since 2×58403842 = 68220170534912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5840384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95714 + ... + 95774.

Almost surely, 25840384 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 5840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850008).

5840384 is an abundant number, since it is smaller than the sum of its proper divisors (7859632).

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

5840384 is a wasteful number, since it uses less digits than its factorization.

5840384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 5840384 is about 2416.6886435782. The cubic root of 5840384 is about 180.0862138440.

The spelling of 5840384 in words is "five million, eight hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 61 64 68 88 122 128 136 176 187 244 256 272 352 374 488 512 544 671 704 748 976 1037 1088 1342 1408 1496 1952 2074 2176 2684 2816 2992 3904 4148 4352 5368 5632 5984 7808 8296 8704 10736 11407 11968 15616 16592 21472 22814 23936 31232 33184 42944 45628 47872 66368 85888 91256 95744 132736 171776 182512 265472 343552 365024 530944 730048 1460096 2920192 5840384