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5754240 = 2735537
BaseRepresentation
bin10101111100110110000000
3101211100100000
4111330312000
52433113430
6323200000
766624132
oct25746600
911740300
105754240
113280278
121b16000
13126619b
14a9b052
15789e60
hex57cd80

5754240 has 192 divisors, whose sum is σ = 21162960. Its totient is φ = 1492992.

The previous prime is 5754233. The next prime is 5754241. The reversal of 5754240 is 424575.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×57542402 = 66222555955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5754241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 155502 + ... + 155538.

Almost surely, 25754240 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 5754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10581480).

5754240 is an abundant number, since it is smaller than the sum of its proper divisors (15408720).

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

5754240 is an equidigital number, since it uses as much as digits as its factorization.

5754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 5754240 is about 2398.7996998499. The cubic root of 5754240 is about 179.1964178706.

The spelling of 5754240 in words is "five million, seven hundred fifty-four thousand, two hundred forty".