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5340600 = 2333522343
BaseRepresentation
bin10100010111110110111000
3101001022221000
4110113312320
52331344400
6310245000
763252156
oct24276670
911038830
105340600
113018521
121956760
13114cb25
149d03d6
15707600
hex517db8

5340600 has 192 divisors, whose sum is σ = 19641600. Its totient is φ = 1330560.

The previous prime is 5340589. The next prime is 5340613. The reversal of 5340600 is 60435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124179 + ... + 124221.

It is an arithmetic number, because the mean of its divisors is an integer number (102300).

Almost surely, 25340600 is an apocalyptic number.

5340600 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 5340600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820800).

5340600 is an abundant number, since it is smaller than the sum of its proper divisors (14301000).

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

5340600 is a wasteful number, since it uses less digits than its factorization.

5340600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5340600 is about 2310.9738207085. The cubic root of 5340600 is about 174.7954071618.

The spelling of 5340600 in words is "five million, three hundred forty thousand, six hundred".