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5559840 = 253551113
BaseRepresentation
bin10101001101011000100000
3101110110200000
4111031120200
52410403330
6315100000
765154306
oct25153040
911413600
105559840
113158210
121a41600
1311c8860
14a4a276
1574c560
hex54d620

5559840 has 288 divisors, whose sum is σ = 23115456. Its totient is φ = 1244160.

The previous prime is 5559839. The next prime is 5559847. The reversal of 5559840 is 489555.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×55598403 (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 5559795 and 5559804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5559847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427674 + ... + 427686.

It is an arithmetic number, because the mean of its divisors is an integer number (80262).

Almost surely, 25559840 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 5559840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728).

5559840 is an abundant number, since it is smaller than the sum of its proper divisors (17555616).

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

5559840 is a wasteful number, since it uses less digits than its factorization.

5559840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 5559840 is about 2357.9312967090. The cubic root of 5559840 is about 177.1552788475.

It can be divided in two parts, 55 and 59840, that added together give a palindrome (59895).

The spelling of 5559840 in words is "five million, five hundred fifty-nine thousand, eight hundred forty".