Search a number
-
+
5280984 = 2333231063
BaseRepresentation
bin10100001001010011011000
3100221022011000
4110021103120
52322442414
6305105000
762613312
oct24112330
910838130
105280984
112a87755
121928160
13112b957
149b67b2
156e4b09
hex5094d8

5280984 has 64 divisors (see below), whose sum is σ = 15321600. Its totient is φ = 1682208.

The previous prime is 5280983. The next prime is 5281019. The reversal of 5280984 is 4890825.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5280983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4437 + ... + 5499.

It is an arithmetic number, because the mean of its divisors is an integer number (239400).

Almost surely, 25280984 is an apocalyptic number.

5280984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5280984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660800).

5280984 is an abundant number, since it is smaller than the sum of its proper divisors (10040616).

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

5280984 is a wasteful number, since it uses less digits than its factorization.

5280984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5280984 is about 2298.0391641571. The cubic root of 5280984 is about 174.1425704272.

The spelling of 5280984 in words is "five million, two hundred eighty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1063 1242 1656 2126 2484 3189 4252 4968 6378 8504 9567 12756 19134 24449 25512 28701 38268 48898 57402 73347 76536 97796 114804 146694 195592 220041 229608 293388 440082 586776 660123 880164 1320246 1760328 2640492 5280984