Search a number
-
+
5343120 = 2432541181
BaseRepresentation
bin10100011000011110010000
3101001110101100
4110120132100
52331434440
6310304400
763262416
oct24303620
911043340
105343120
11301a402
121958100
131151013
149d12b6
15708230
hex518790

5343120 has 120 divisors (see below), whose sum is σ = 18483192. Its totient is φ = 1382400.

The previous prime is 5343119. The next prime is 5343127. The reversal of 5343120 is 213435.

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 4875264 = 684^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 5343093 and 5343102.

It is not an unprimeable number, because it can be changed into a prime (5343127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29430 + ... + 29610.

Almost surely, 25343120 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 5343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241596).

5343120 is an abundant number, since it is smaller than the sum of its proper divisors (13140072).

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

5343120 is a wasteful number, since it uses less digits than its factorization.

5343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5343120 is about 2311.5189811031. The cubic root of 5343120 is about 174.8228956564.

Adding to 5343120 its reverse (213435), we get a palindrome (5556555).

The spelling of 5343120 in words is "five million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 181 205 240 246 328 360 362 369 410 492 543 615 656 720 724 738 820 905 984 1086 1230 1448 1476 1629 1640 1810 1845 1968 2172 2460 2715 2896 2952 3258 3280 3620 3690 4344 4920 5430 5904 6516 7240 7380 7421 8145 8688 9840 10860 13032 14480 14760 14842 16290 21720 22263 26064 29520 29684 32580 37105 43440 44526 59368 65160 66789 74210 89052 111315 118736 130320 133578 148420 178104 222630 267156 296840 333945 356208 445260 534312 593680 667890 890520 1068624 1335780 1781040 2671560 5343120