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6083968 = 271129149
BaseRepresentation
bin10111001101010110000000
3102110002122011
4113031112000
53024141333
6334222304
7102466342
oct27152600
912402564
106083968
113485a80
122054994
1313502a7
14b45292
158029cd
hex5cd580

6083968 has 64 divisors (see below), whose sum is σ = 13770000. Its totient is φ = 2652160.

The previous prime is 6083963. The next prime is 6083969. The reversal of 6083968 is 8693806.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 6083968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6083963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40758 + ... + 40906.

Almost surely, 26083968 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 6083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885000).

6083968 is an abundant number, since it is smaller than the sum of its proper divisors (7686032).

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

6083968 is a wasteful number, since it uses less digits than its factorization.

6083968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 6083968 is about 2466.5700881994. The cubic root of 6083968 is about 182.5558020390. Note that the first 3 decimals are identical.

The spelling of 6083968 in words is "six million, eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 149 176 232 298 319 352 464 596 638 704 928 1192 1276 1408 1639 1856 2384 2552 3278 3712 4321 4768 5104 6556 8642 9536 10208 13112 17284 19072 20416 26224 34568 40832 47531 52448 69136 95062 104896 138272 190124 209792 276544 380248 553088 760496 1520992 3041984 6083968