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5695360 = 27511809
BaseRepresentation
bin10101101110011110000000
3101201100120021
4111232132000
52424222420
6322023224
766260356
oct25563600
911640507
105695360
113240010
121aa7b14
131245448
14a837d6
157777aa
hex56e780

5695360 has 64 divisors (see below), whose sum is σ = 14871600. Its totient is φ = 2068480.

The previous prime is 5695321. The next prime is 5695367. The reversal of 5695360 is 635965.

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

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5695367) 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, 6636 + ... + 7444.

Almost surely, 25695360 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 5695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7435800).

5695360 is an abundant number, since it is smaller than the sum of its proper divisors (9176240).

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

5695360 is a wasteful number, since it uses less digits than its factorization.

5695360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 34.

The square root of 5695360 is about 2386.4953383571. The cubic root of 5695360 is about 178.5831148162.

It can be divided in two parts, 569 and 5360, that added together give a square (5929 = 772).

The spelling of 5695360 in words is "five million, six hundred ninety-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 809 880 1408 1618 1760 3236 3520 4045 6472 7040 8090 8899 12944 16180 17798 25888 32360 35596 44495 51776 64720 71192 88990 103552 129440 142384 177980 258880 284768 355960 517760 569536 711920 1139072 1423840 2847680 5695360