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5696320 = 26572543
BaseRepresentation
bin10101101110101101000000
3101201101212211
4111232231000
52424240240
6322031504
766263230
oct25565500
911641784
105696320
113240803
121aa8594
131245a06
14a83cc0
15777bea
hex56eb40

5696320 has 56 divisors (see below), whose sum is σ = 15508224. Its totient is φ = 1952256.

The previous prime is 5696293. The next prime is 5696321. The reversal of 5696320 is 236965.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5696321) 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 7 ways as a sum of consecutive naturals, for example, 969 + ... + 3511.

Almost surely, 25696320 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 5696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7754112).

5696320 is an abundant number, since it is smaller than the sum of its proper divisors (9811904).

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

5696320 is a wasteful number, since it uses less digits than its factorization.

5696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 5696320 is about 2386.6964616390. The cubic root of 5696320 is about 178.5931481391.

It can be divided in two parts, 569 and 6320, that added together give a square (6889 = 832).

The spelling of 5696320 in words is "five million, six hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 2543 5086 10172 12715 17801 20344 25430 35602 40688 50860 71204 81376 89005 101720 142408 162752 178010 203440 284816 356020 406880 569632 712040 813760 1139264 1424080 2848160 5696320