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5675360 = 25579449
BaseRepresentation
bin10101101001100101100000
3101200100010112
4111221211200
52423102420
6321350452
766145145
oct25514540
911610115
105675360
113226a89
121a98428
131239302
14a7a3cc
157718c5
hex569960

5675360 has 48 divisors (see below), whose sum is σ = 13608000. Its totient is φ = 2236416.

The previous prime is 5675359. The next prime is 5675363. The reversal of 5675360 is 635765.

It is a super-2 number, since 2×56753602 = 64419422259200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5675363) 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, 12416 + ... + 12864.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 25675360 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 5675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804000).

5675360 is an abundant number, since it is smaller than the sum of its proper divisors (7932640).

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

5675360 is a wasteful number, since it uses less digits than its factorization.

5675360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 5675360 is about 2382.3014083025. The cubic root of 5675360 is about 178.3738303426.

The spelling of 5675360 in words is "five million, six hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 449 632 790 898 1264 1580 1796 2245 2528 3160 3592 4490 6320 7184 8980 12640 14368 17960 35471 35920 70942 71840 141884 177355 283768 354710 567536 709420 1135072 1418840 2837680 5675360