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5503120 = 245731317
BaseRepresentation
bin10100111111100010010000
3101100120212021
4110333202100
52402044440
6313541224
764530040
oct24774220
911316767
105503120
113119637
121a14814
1311a8aac
14a33720
1573a84a
hex53f890

5503120 has 80 divisors (see below), whose sum is σ = 15141888. Its totient is φ = 1820160.

The previous prime is 5503109. The next prime is 5503123. The reversal of 5503120 is 213055.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 5503094 and 5503103.

It is not an unprimeable number, because it can be changed into a prime (5503123) 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 15 ways as a sum of consecutive naturals, for example, 17202 + ... + 17518.

Almost surely, 25503120 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 5503120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570944).

5503120 is an abundant number, since it is smaller than the sum of its proper divisors (9638768).

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

5503120 is a wasteful number, since it uses less digits than its factorization.

5503120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 5503120 is about 2345.8729718380. The cubic root of 5503120 is about 176.5507882957.

Adding to 5503120 its reverse (213055), we get a palindrome (5716175).

The spelling of 5503120 in words is "five million, five hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 317 434 496 560 620 634 868 1085 1240 1268 1585 1736 2170 2219 2480 2536 3170 3472 4340 4438 5072 6340 8680 8876 9827 11095 12680 17360 17752 19654 22190 25360 35504 39308 44380 49135 68789 78616 88760 98270 137578 157232 177520 196540 275156 343945 393080 550312 687890 786160 1100624 1375780 2751560 5503120