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5314000 = 24532657
BaseRepresentation
bin10100010001010111010000
3100222222102211
4110101113100
52330022000
6305521504
763111466
oct24212720
910888384
105314000
112aaa53a
121943294
1311409a3
149c4836
156ee7ba
hex5115d0

5314000 has 40 divisors (see below), whose sum is σ = 12854088. Its totient is φ = 2124800.

The previous prime is 5313967. The next prime is 5314003. The reversal of 5314000 is 4135.

It can be written as a sum of positive squares in 4 ways, for example, as 97344 + 5216656 = 312^2 + 2284^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5314003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 672 + ... + 3328.

Almost surely, 25314000 is an apocalyptic number.

5314000 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 5314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427044).

5314000 is an abundant number, since it is smaller than the sum of its proper divisors (7540088).

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

5314000 is a wasteful number, since it uses less digits than its factorization.

5314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 5314000 is about 2305.2114870441. The cubic root of 5314000 is about 174.5047220557.

Adding to 5314000 its reverse (4135), we get a palindrome (5318135).

The spelling of 5314000 in words is "five million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2657 5314 10628 13285 21256 26570 42512 53140 66425 106280 132850 212560 265700 332125 531400 664250 1062800 1328500 2657000 5314000