Search a number
-
+
5996032 = 2972239
BaseRepresentation
bin10110110111111000000000
3102021122000021
4112313320000
53013333112
6332303224
7101652100
oct26677000
912248007
105996032
1134259a9
122011b14
13131c263
14b21200
157d6907
hex5b7e00

5996032 has 60 divisors (see below), whose sum is σ = 13994640. Its totient is φ = 2558976.

The previous prime is 5996027. The next prime is 5996033. The reversal of 5996032 is 2306995.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5996033) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 24969 + ... + 25207.

It is an arithmetic number, because the mean of its divisors is an integer number (233244).

Almost surely, 25996032 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 5996032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997320).

5996032 is an abundant number, since it is smaller than the sum of its proper divisors (7998608).

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

5996032 is an equidigital number, since it uses as much as digits as its factorization.

5996032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 5996032 is about 2448.6796442164. The cubic root of 5996032 is about 181.6719930356.

The spelling of 5996032 in words is "five million, nine hundred ninety-six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 239 256 392 448 478 512 784 896 956 1568 1673 1792 1912 3136 3346 3584 3824 6272 6692 7648 11711 12544 13384 15296 23422 25088 26768 30592 46844 53536 61184 93688 107072 122368 187376 214144 374752 428288 749504 856576 1499008 2998016 5996032