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5934768 = 2437171039
BaseRepresentation
bin10110101000111010110000
3102011111222020
4112220322300
53004403033
6331111440
7101305350
oct26507260
912144866
105934768
113393974
121ba2580
1312ca3c8
14b06b60
157c36b3
hex5a8eb0

5934768 has 80 divisors (see below), whose sum is σ = 18570240. Its totient is φ = 1594368.

The previous prime is 5934739. The next prime is 5934769. The reversal of 5934768 is 8674395.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 57 + 95 + 3 + 42 + 78 + 6 + 85 .

It is not an unprimeable number, because it can be changed into a prime (5934769) 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 15 ways as a sum of consecutive naturals, for example, 5193 + ... + 6231.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 25934768 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 5934768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285120).

5934768 is an abundant number, since it is smaller than the sum of its proper divisors (12635472).

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

5934768 is a wasteful number, since it uses less digits than its factorization.

5934768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1068 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 5934768 is about 2436.1379271297. The cubic root of 5934768 is about 181.0511337678.

The spelling of 5934768 in words is "five million, nine hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1039 1428 1904 2078 2856 3117 4156 5712 6234 7273 8312 12468 14546 16624 17663 21819 24936 29092 35326 43638 49872 52989 58184 70652 87276 105978 116368 123641 141304 174552 211956 247282 282608 349104 370923 423912 494564 741846 847824 989128 1483692 1978256 2967384 5934768