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5541120 = 283251337
BaseRepresentation
bin10101001000110100000000
3101102111222200
4111020310000
52404303440
6314433200
765045604
oct25106400
911374880
105541120
113145142
121a32800
1311c0190
14a43504
15746c30
hex548d00

5541120 has 216 divisors, whose sum is σ = 21204456. Its totient is φ = 1327104.

The previous prime is 5541079. The next prime is 5541121. The reversal of 5541120 is 211455.

5541120 is a `hidden beast` number, since 5 + 541 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 4875264 = 816^2 + 2208^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5541093 and 5541102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5541121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149742 + ... + 149778.

Almost surely, 25541120 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 5541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10602228).

5541120 is an abundant number, since it is smaller than the sum of its proper divisors (15663336).

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

5541120 is a wasteful number, since it uses less digits than its factorization.

5541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5541120 is about 2353.9583683659. The cubic root of 5541120 is about 176.9562278048.

Adding to 5541120 its reverse (211455), we get a palindrome (5752575).

The spelling of 5541120 in words is "five million, five hundred forty-one thousand, one hundred twenty".