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5688320 = 210511101
BaseRepresentation
bin10101101100110000000000
3101200222220112
4111230300000
52424011240
6321530452
766231011
oct25546000
911628815
105688320
1132357a0
121aa3a28
131242191
14a81008
15775665
hex56cc00

5688320 has 88 divisors (see below), whose sum is σ = 15033168. Its totient is φ = 2048000.

The previous prime is 5688317. The next prime is 5688329. The reversal of 5688320 is 238865.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (5688329) 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, 56270 + ... + 56370.

Almost surely, 25688320 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 5688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516584).

5688320 is an abundant number, since it is smaller than the sum of its proper divisors (9344848).

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

5688320 is a wasteful number, since it uses less digits than its factorization.

5688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 5688320 is about 2385.0199160594. The cubic root of 5688320 is about 178.5095026418.

It can be divided in two parts, 568 and 8320, that added together give a palindrome (8888).

The spelling of 5688320 in words is "five million, six hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 128 160 176 202 220 256 320 352 404 440 505 512 640 704 808 880 1010 1024 1111 1280 1408 1616 1760 2020 2222 2560 2816 3232 3520 4040 4444 5120 5555 5632 6464 7040 8080 8888 11110 11264 12928 14080 16160 17776 22220 25856 28160 32320 35552 44440 51712 56320 64640 71104 88880 103424 129280 142208 177760 258560 284416 355520 517120 568832 711040 1137664 1422080 2844160 5688320