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5133420 = 2232519279
BaseRepresentation
bin10011100101010001101100
3100122210201200
4103211101230
52303232140
6302005500
761430145
oct23452154
910583650
105133420
1129968a6
121876890
1310a9736
14978acc
156b6030
hex4e546c

5133420 has 108 divisors (see below), whose sum is σ = 16642080. Its totient is φ = 1280448.

The previous prime is 5133407. The next prime is 5133437. The reversal of 5133420 is 243315.

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 = 5133393 and 5133402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64941 + ... + 65019.

Almost surely, 25133420 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 5133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321040).

5133420 is an abundant number, since it is smaller than the sum of its proper divisors (11508660).

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

5133420 is a wasteful number, since it uses less digits than its factorization.

5133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

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

The square root of 5133420 is about 2265.7051882361. The cubic root of 5133420 is about 172.5052298351.

Adding to 5133420 its reverse (243315), we get a palindrome (5376735).

The spelling of 5133420 in words is "five million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 79 90 95 114 158 171 180 190 228 237 285 316 342 361 380 395 474 570 684 711 722 790 855 948 1083 1140 1185 1422 1444 1501 1580 1710 1805 2166 2370 2844 3002 3249 3420 3555 3610 4332 4503 4740 5415 6004 6498 7110 7220 7505 9006 10830 12996 13509 14220 15010 16245 18012 21660 22515 27018 28519 30020 32490 45030 54036 57038 64980 67545 85557 90060 114076 135090 142595 171114 256671 270180 285190 342228 427785 513342 570380 855570 1026684 1283355 1711140 2566710 5133420