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5380032 = 26374003
BaseRepresentation
bin10100100001011111000000
3101010100000110
4110201133000
52334130112
6311151320
763505140
oct24413700
911110013
105380032
113045109
121975540
131164a68
14a00920
1571413c
hex5217c0

5380032 has 56 divisors (see below), whose sum is σ = 16272256. Its totient is φ = 1536768.

The previous prime is 5380009. The next prime is 5380049. The reversal of 5380032 is 2300835.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 5379990 and 5380008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658 + ... + 3345.

It is an arithmetic number, because the mean of its divisors is an integer number (290576).

Almost surely, 25380032 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 5380032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136128).

5380032 is an abundant number, since it is smaller than the sum of its proper divisors (10892224).

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

5380032 is a wasteful number, since it uses less digits than its factorization.

5380032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5380032 is about 2319.4895990282. The cubic root of 5380032 is about 175.2245498427.

Adding to 5380032 its reverse (2300835), we get a palindrome (7680867).

The spelling of 5380032 in words is "five million, three hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 4003 8006 12009 16012 24018 28021 32024 48036 56042 64048 84063 96072 112084 128096 168126 192144 224168 256192 336252 384288 448336 672504 768576 896672 1345008 1793344 2690016 5380032