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5380128 = 253313479
BaseRepresentation
bin10100100001100000100000
3101010100011000
4110201200200
52334131003
6311152000
763505335
oct24414040
911110130
105380128
113045196
121975600
131164b10
14a0098c
157141a3
hex521820

5380128 has 96 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 1651968.

The previous prime is 5380121. The next prime is 5380147. The reversal of 5380128 is 8210835.

It is a happy number.

5380128 is a `hidden beast` number, since 538 + 0 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5380121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10993 + ... + 11471.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 25380128 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 5380128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

5380128 is an abundant number, since it is smaller than the sum of its proper divisors (11554272).

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

5380128 is a wasteful number, since it uses less digits than its factorization.

5380128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5380128 is about 2319.5102931438. The cubic root of 5380128 is about 175.2255920581.

The spelling of 5380128 in words is "five million, three hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 479 624 702 864 936 958 1248 1404 1437 1872 1916 2808 2874 3744 3832 4311 5616 5748 6227 7664 8622 11232 11496 12454 12933 15328 17244 18681 22992 24908 25866 34488 37362 45984 49816 51732 56043 68976 74724 99632 103464 112086 137952 149448 168129 199264 206928 224172 298896 336258 413856 448344 597792 672516 896688 1345032 1793376 2690064 5380128