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5345000 = 23541069
BaseRepresentation
bin10100011000111011101000
3101001112221222
4110120323220
52332020000
6310321212
763301043
oct24307350
911045858
105345000
113020861
121959208
131151b2b
149d1c5a
15708a85
hex518ee8

5345000 has 40 divisors (see below), whose sum is σ = 12535050. Its totient is φ = 2136000.

The previous prime is 5344973. The next prime is 5345017. The reversal of 5345000 is 5435.

It can be written as a sum of positive squares in 5 ways, for example, as 45796 + 5299204 = 214^2 + 2302^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 5345000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4466 + ... + 5534.

Almost surely, 25345000 is an apocalyptic number.

5345000 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 5345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267525).

5345000 is an abundant number, since it is smaller than the sum of its proper divisors (7190050).

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

5345000 is a wasteful number, since it uses less digits than its factorization.

5345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 5345000 is about 2311.9256043394. The cubic root of 5345000 is about 174.8433973173.

The spelling of 5345000 in words is "five million, three hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1069 1250 2138 2500 4276 5000 5345 8552 10690 21380 26725 42760 53450 106900 133625 213800 267250 534500 668125 1069000 1336250 2672500 5345000