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5360128 = 2919229
BaseRepresentation
bin10100011100101000000000
3101002022201021
4110130220000
52333011003
6310515224
763363124
oct24345000
911068637
105360128
113031164
121965b14
131158997
149d7584
1570d2bd
hex51ca00

5360128 has 60 divisors (see below), whose sum is σ = 11692890. Its totient is φ = 2451456.

The previous prime is 5360119. The next prime is 5360129. The reversal of 5360128 is 8210635.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4528384 + 831744 = 2128^2 + 912^2 .

It is not an unprimeable number, because it can be changed into a prime (5360129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184818 + ... + 184846.

Almost surely, 25360128 is an apocalyptic number.

5360128 is a gapful number since it is divisible by the number (58) 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 5360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846445).

5360128 is an abundant number, since it is smaller than the sum of its proper divisors (6332762).

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

5360128 is an equidigital number, since it uses as much as digits as its factorization.

5360128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 5360128 is about 2315.1950241826. The cubic root of 5360128 is about 175.0081955346.

The spelling of 5360128 in words is "five million, three hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 256 304 361 464 512 551 608 722 928 1102 1216 1444 1856 2204 2432 2888 3712 4408 4864 5776 7424 8816 9728 10469 11552 14848 17632 20938 23104 35264 41876 46208 70528 83752 92416 141056 167504 184832 282112 335008 670016 1340032 2680064 5360128