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5689968 = 2431719367
BaseRepresentation
bin10101101101001001110000
3101201002011120
4111231021300
52424034333
6321542240
766235554
oct25551160
911632146
105689968
113236a59
121aa4980
131242b5b
14a81864
15775db3
hex56d270

5689968 has 80 divisors (see below), whose sum is σ = 16427520. Its totient is φ = 1686528.

The previous prime is 5689967. The next prime is 5689973. The reversal of 5689968 is 8699865.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 5689968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5689967) 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, 15321 + ... + 15687.

It is an arithmetic number, because the mean of its divisors is an integer number (205344).

Almost surely, 25689968 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 5689968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213760).

5689968 is an abundant number, since it is smaller than the sum of its proper divisors (10737552).

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

5689968 is a wasteful number, since it uses less digits than its factorization.

5689968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

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

The square root of 5689968 is about 2385.3653808170. The cubic root of 5689968 is about 178.5267400250.

The spelling of 5689968 in words is "five million, six hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 367 408 456 646 734 816 912 969 1101 1292 1468 1938 2202 2584 2936 3876 4404 5168 5872 6239 6973 7752 8808 12478 13946 15504 17616 18717 20919 24956 27892 37434 41838 49912 55784 74868 83676 99824 111568 118541 149736 167352 237082 299472 334704 355623 474164 711246 948328 1422492 1896656 2844984 5689968