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5775840 = 253357191
BaseRepresentation
bin10110000010000111100000
3101212102222000
4112002013200
52434311330
6323444000
7100044120
oct26020740
911772860
105775840
113295524
121b26600
131272c75
14aa4c80
15791560
hex5821e0

5775840 has 192 divisors, whose sum is σ = 23224320. Its totient is φ = 1313280.

The previous prime is 5775839. The next prime is 5775841. The reversal of 5775840 is 485775.

5775840 is a `hidden beast` number, since 5 + 77 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5775839) and next prime (5775841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5775795 and 5775804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5775841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30145 + ... + 30335.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 25775840 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 5775840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

5775840 is an abundant number, since it is smaller than the sum of its proper divisors (17448480).

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

5775840 is a wasteful number, since it uses less digits than its factorization.

5775840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5775840 is about 2403.2977343642. The cubic root of 5775840 is about 179.4203576410.

The spelling of 5775840 in words is "five million, seven hundred seventy-five thousand, eight hundred forty".