Search a number
-
+
5132520 = 2332553269
BaseRepresentation
bin10011100101000011101000
3100122202111100
4103211003220
52303220040
6302001400
761424421
oct23450350
910582440
105132520
112996158
121876260
1310a91c3
14978648
156b5b30
hex4e50e8

5132520 has 96 divisors (see below), whose sum is σ = 17058600. Its totient is φ = 1337856.

The previous prime is 5132513. The next prime is 5132531. The reversal of 5132520 is 252315.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3437316 + 1695204 = 1854^2 + 1302^2 .

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 = 5132493 and 5132502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18946 + ... + 19214.

Almost surely, 25132520 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 5132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8529300).

5132520 is an abundant number, since it is smaller than the sum of its proper divisors (11926080).

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

5132520 is a wasteful number, since it uses less digits than its factorization.

5132520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5132520 is about 2265.5065658700. The cubic root of 5132520 is about 172.4951479417.

Adding to 5132520 its reverse (252315), we get a palindrome (5384835).

The spelling of 5132520 in words is "five million, one hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 269 318 360 424 477 530 538 636 795 807 954 1060 1076 1272 1345 1590 1614 1908 2120 2152 2385 2421 2690 3180 3228 3816 4035 4770 4842 5380 6360 6456 8070 9540 9684 10760 12105 14257 16140 19080 19368 24210 28514 32280 42771 48420 57028 71285 85542 96840 114056 128313 142570 171084 213855 256626 285140 342168 427710 513252 570280 641565 855420 1026504 1283130 1710840 2566260 5132520