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5340720 = 2435711172
BaseRepresentation
bin10100010111111000110000
3101001100002110
4110113320300
52331400340
6310245320
763252420
oct24277060
911040073
105340720
113018620
121956840
13114cbb8
149d0480
15707680
hex517e30

5340720 has 240 divisors, whose sum is σ = 21927168. Its totient is φ = 1044480.

The previous prime is 5340707. The next prime is 5340743. The reversal of 5340720 is 270435.

It is a happy number.

It is a Cunningham number, because it is equal to 23112-1.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 314152 + ... + 314168.

Almost surely, 25340720 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 5340720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10963584).

5340720 is an abundant number, since it is smaller than the sum of its proper divisors (16586448).

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

5340720 is a wasteful number, since it uses less digits than its factorization.

5340720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 5340720 is about 2310.9997836434. Note that the first 3 decimals coincide. The cubic root of 5340720 is about 174.7967163338.

It can be divided in two parts, 5 and 340720, that added together give a triangular number (340725 = T825).

The spelling of 5340720 in words is "five million, three hundred forty thousand, seven hundred twenty".