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5541360 = 2435112099
BaseRepresentation
bin10101001000110111110000
3101102112022120
4111020313300
52404310420
6314434240
765046366
oct25106760
911375276
105541360
113145340
121a32980
1311c0316
14a43636
15746d40
hex548df0

5541360 has 80 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 1342720.

The previous prime is 5541353. The next prime is 5541373. The reversal of 5541360 is 631455.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5541360.

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 15 ways as a sum of consecutive naturals, for example, 1591 + ... + 3689.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 25541360 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 5541360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

5541360 is an abundant number, since it is smaller than the sum of its proper divisors (13207440).

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

5541360 is a wasteful number, since it uses less digits than its factorization.

5541360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5541360 is about 2354.0093457758. The cubic root of 5541360 is about 176.9587825760.

The spelling of 5541360 in words is "five million, five hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2099 2640 4198 6297 8396 10495 12594 16792 20990 23089 25188 31485 33584 41980 46178 50376 62970 69267 83960 92356 100752 115445 125940 138534 167920 184712 230890 251880 277068 346335 369424 461780 503760 554136 692670 923560 1108272 1385340 1847120 2770680 5541360