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5530032 = 243417251
BaseRepresentation
bin10101000110000110110000
3101101221210000
4111012012300
52403430112
6314310000
765001354
oct25060660
911357700
105530032
113137882
121a28300
1311b8111
14a3d464
157437dc
hex5461b0

5530032 has 100 divisors (see below), whose sum is σ = 17014536. Its totient is φ = 1728000.

The previous prime is 5530027. The next prime is 5530033. The reversal of 5530032 is 2300355.

5530032 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 = 5529987 and 5530014.

It is not an unprimeable number, because it can be changed into a prime (5530033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21907 + ... + 22157.

Almost surely, 25530032 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 5530032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507268).

5530032 is an abundant number, since it is smaller than the sum of its proper divisors (11484504).

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

5530032 is a wasteful number, since it uses less digits than its factorization.

5530032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 5530032 is about 2351.6020071432. The cubic root of 5530032 is about 176.8381168542.

Adding to 5530032 its reverse (2300355), we get a palindrome (7830387).

The spelling of 5530032 in words is "five million, five hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 251 272 306 324 408 432 459 502 612 648 753 816 918 1004 1224 1296 1377 1506 1836 2008 2259 2448 2754 3012 3672 4016 4267 4518 5508 6024 6777 7344 8534 9036 11016 12048 12801 13554 17068 18072 20331 22032 25602 27108 34136 36144 38403 40662 51204 54216 68272 76806 81324 102408 108432 115209 153612 162648 204816 230418 307224 325296 345627 460836 614448 691254 921672 1382508 1843344 2765016 5530032