Search a number
-
+
5310060 = 2235747269
BaseRepresentation
bin10100010000011001101100
3100222210000220
4110100121230
52324410220
6305451340
763064140
oct24203154
910883026
105310060
112aa7588
121940b50
13113bc62
149c3220
156ed540
hex51066c

5310060 has 96 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 1183488.

The previous prime is 5310049. The next prime is 5310061. The reversal of 5310060 is 600135.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5310061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19606 + ... + 19874.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 25310060 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 5310060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

5310060 is an abundant number, since it is smaller than the sum of its proper divisors (12108180).

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

5310060 is a wasteful number, since it uses less digits than its factorization.

5310060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 5310060 is about 2304.3567432149. The cubic root of 5310060 is about 174.4615832651.

Adding to 5310060 its reverse (600135), we get a palindrome (5910195).

The spelling of 5310060 in words is "five million, three hundred ten thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 269 282 329 420 470 538 564 658 705 807 940 987 1076 1316 1345 1410 1614 1645 1883 1974 2690 2820 3228 3290 3766 3948 4035 4935 5380 5649 6580 7532 8070 9415 9870 11298 12643 16140 18830 19740 22596 25286 28245 37660 37929 50572 56490 63215 75858 88501 112980 126430 151716 177002 189645 252860 265503 354004 379290 442505 531006 758580 885010 1062012 1327515 1770020 2655030 5310060