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5380000 = 2554269
BaseRepresentation
bin10100100001011110100000
3101010022222021
4110201132200
52334130000
6311151224
763505063
oct24413640
911108867
105380000
11304508a
121975514
131164a42
14a008da
1571411a
hex5217a0

5380000 has 60 divisors (see below), whose sum is σ = 13284810. Its totient is φ = 2144000.

The previous prime is 5379971. The next prime is 5380003. The reversal of 5380000 is 835.

It can be written as a sum of positive squares in 5 ways, for example, as 126736 + 5253264 = 356^2 + 2292^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (5380003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19866 + ... + 20134.

Almost surely, 25380000 is an apocalyptic number.

5380000 is a gapful number since it is divisible by the number (50) 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 5380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642405).

5380000 is an abundant number, since it is smaller than the sum of its proper divisors (7904810).

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

5380000 is an equidigital number, since it uses as much as digits as its factorization.

5380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5380000 is about 2319.4827009486. The cubic root of 5380000 is about 175.2242024348.

Adding to 5380000 its reverse (835), we get a palindrome (5380835).

The spelling of 5380000 in words is "five million, three hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 269 400 500 538 625 800 1000 1076 1250 1345 2000 2152 2500 2690 4000 4304 5000 5380 6725 8608 10000 10760 13450 20000 21520 26900 33625 43040 53800 67250 107600 134500 168125 215200 269000 336250 538000 672500 1076000 1345000 2690000 5380000