Search a number
-
+
5990936 = 2372172931
BaseRepresentation
bin10110110110101000011000
3102021101000112
4112312220120
53013202221
6332223452
7101631200
oct26665030
912241015
105990936
113422096
12200ab88
131319b43
14b1d400
157d515b
hex5b6a18

5990936 has 96 divisors (see below), whose sum is σ = 14774400. Its totient is φ = 2257920.

The previous prime is 5990917. The next prime is 5990977. The reversal of 5990936 is 6390995.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5990893 and 5990902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193241 + ... + 193271.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

Almost surely, 25990936 is an apocalyptic number.

5990936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5990936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387200).

5990936 is an abundant number, since it is smaller than the sum of its proper divisors (8783464).

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

5990936 is a wasteful number, since it uses less digits than its factorization.

5990936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 41.

The square root of 5990936 is about 2447.6388622507. The cubic root of 5990936 is about 181.6205110511.

The spelling of 5990936 in words is "five million, nine hundred ninety thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 17 28 29 31 34 49 56 58 62 68 98 116 119 124 136 196 203 217 232 238 248 392 406 434 476 493 527 812 833 868 899 952 986 1054 1421 1519 1624 1666 1736 1798 1972 2108 2842 3038 3332 3451 3596 3689 3944 4216 5684 6076 6293 6664 6902 7192 7378 11368 12152 12586 13804 14756 15283 24157 25172 25823 27608 29512 30566 44051 48314 50344 51646 61132 88102 96628 103292 106981 122264 176204 193256 206584 213962 352408 427924 748867 855848 1497734 2995468 5990936