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5660512 = 2511131237
BaseRepresentation
bin10101100101111101100000
3101122120202121
4111211331200
52422114022
6321154024
766053644
oct25457540
911576677
105660512
113216910
121a8b914
131232620
14a74c24
1576c2c7
hex565f60

5660512 has 48 divisors (see below), whose sum is σ = 13102992. Its totient is φ = 2373120.

The previous prime is 5660503. The next prime is 5660513. The reversal of 5660512 is 2150665.

It is a super-2 number, since 2×56605122 = 64082792204288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5660513) 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, 3958 + ... + 5194.

It is an arithmetic number, because the mean of its divisors is an integer number (272979).

Almost surely, 25660512 is an apocalyptic number.

5660512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5660512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551496).

5660512 is an abundant number, since it is smaller than the sum of its proper divisors (7442480).

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

5660512 is a wasteful number, since it uses less digits than its factorization.

5660512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 5660512 is about 2379.1830530667. The cubic root of 5660512 is about 178.2181393275.

The spelling of 5660512 in words is "five million, six hundred sixty thousand, five hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 1237 2288 2474 4576 4948 9896 13607 16081 19792 27214 32162 39584 54428 64324 108856 128648 176891 217712 257296 353782 435424 514592 707564 1415128 2830256 5660512