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5986968 = 2331331619
BaseRepresentation
bin10110110101101010011000
3102021011120120
4112311222120
53013040333
6332153240
7101613501
oct26655230
912234516
105986968
11341a109
122008820
1313180b0
14b1bba8
157d3db3
hex5b5a98

5986968 has 64 divisors (see below), whose sum is σ = 16665600. Its totient is φ = 1779840.

The previous prime is 5986961. The next prime is 5986979. The reversal of 5986968 is 8696895.

It is a self number, because there is not a number n which added to its sum of digits gives 5986968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5986961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9363 + ... + 9981.

It is an arithmetic number, because the mean of its divisors is an integer number (260400).

Almost surely, 25986968 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 5986968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332800).

5986968 is an abundant number, since it is smaller than the sum of its proper divisors (10678632).

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

5986968 is a wasteful number, since it uses less digits than its factorization.

5986968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 5986968 is about 2446.8281508925. The cubic root of 5986968 is about 181.5804043881.

The spelling of 5986968 in words is "five million, nine hundred eighty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 619 744 806 1209 1238 1612 1857 2418 2476 3224 3714 4836 4952 7428 8047 9672 14856 16094 19189 24141 32188 38378 48282 57567 64376 76756 96564 115134 153512 193128 230268 249457 460536 498914 748371 997828 1496742 1995656 2993484 5986968