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5520768 = 273111307
BaseRepresentation
bin10101000011110110000000
3101101111001220
4111003312000
52403131033
6314155040
764632351
oct25036600
911344056
105520768
113130920
121a22a80
1311b3b36
14a39d28
15740bb3
hex543d80

5520768 has 64 divisors (see below), whose sum is σ = 16009920. Its totient is φ = 1671680.

The previous prime is 5520763. The next prime is 5520769. The reversal of 5520768 is 8670255.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5520763) 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, 3571 + ... + 4877.

It is an arithmetic number, because the mean of its divisors is an integer number (250155).

Almost surely, 25520768 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 5520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8004960).

5520768 is an abundant number, since it is smaller than the sum of its proper divisors (10489152).

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

5520768 is a wasteful number, since it uses less digits than its factorization.

5520768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5520768 is about 2349.6314604635. The cubic root of 5520768 is about 176.7393142938.

The spelling of 5520768 in words is "five million, five hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1307 1408 2112 2614 3921 4224 5228 7842 10456 14377 15684 20912 28754 31368 41824 43131 57508 62736 83648 86262 115016 125472 167296 172524 230032 250944 345048 460064 501888 690096 920128 1380192 1840256 2760384 5520768