Search a number
-
+
5343520 = 255713367
BaseRepresentation
bin10100011000100100100000
3101001110221011
4110120210200
52331443040
6310310304
763263530
oct24304440
911043834
105343520
11301a736
121958394
131151260
149d14c0
157083ea
hex518920

5343520 has 96 divisors (see below), whose sum is σ = 15579648. Its totient is φ = 1686528.

The previous prime is 5343517. The next prime is 5343529. The reversal of 5343520 is 253435.

It is a junction number, because it is equal to n+sod(n) for n = 5343491 and 5343500.

It is not an unprimeable number, because it can be changed into a prime (5343529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14377 + ... + 14743.

It is an arithmetic number, because the mean of its divisors is an integer number (162288).

Almost surely, 25343520 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 5343520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7789824).

5343520 is an abundant number, since it is smaller than the sum of its proper divisors (10236128).

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

5343520 is a wasteful number, since it uses less digits than its factorization.

5343520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 5343520 is about 2311.6055026756. The cubic root of 5343520 is about 174.8272581146.

Adding to 5343520 its reverse (253435), we get a palindrome (5596955).

The spelling of 5343520 in words is "five million, three hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 367 416 455 520 560 728 734 910 1040 1120 1456 1468 1820 1835 2080 2569 2912 2936 3640 3670 4771 5138 5872 7280 7340 9542 10276 11744 12845 14560 14680 19084 20552 23855 25690 29360 33397 38168 41104 47710 51380 58720 66794 76336 82208 95420 102760 133588 152672 166985 190840 205520 267176 333970 381680 411040 534352 667940 763360 1068704 1335880 2671760 5343520