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5680128 = 2103432
BaseRepresentation
bin10101101010110000000000
3101200120200010
4111222300000
52423231003
6321424520
766165066
oct25526000
911616603
105680128
11322a623
121a9b140
13123b52c
14a7c036
15773003
hex56ac00

5680128 has 66 divisors (see below), whose sum is σ = 15499884. Its totient is φ = 1849344.

The previous prime is 5680111. The next prime is 5680133. The reversal of 5680128 is 8210865.

It is a junction number, because it is equal to n+sod(n) for n = 5680095 and 5680104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132075 + ... + 132117.

Almost surely, 25680128 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 5680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749942).

5680128 is an abundant number, since it is smaller than the sum of its proper divisors (9819756).

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

5680128 is an equidigital number, since it uses as much as digits as its factorization.

5680128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 5680128 is about 2383.3019112148. The cubic root of 5680128 is about 178.4237683414.

The spelling of 5680128 in words is "five million, six hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 1849 2064 2752 3072 3698 4128 5504 5547 7396 8256 11008 11094 14792 16512 22016 22188 29584 33024 44032 44376 59168 66048 88752 118336 132096 177504 236672 355008 473344 710016 946688 1420032 1893376 2840064 5680128