Search a number
-
+
135510060 = 223571718979
BaseRepresentation
bin10000001001110…
…11100000101100
3100102222121212010
420010323200230
5234142310220
621240241220
73233550030
oct1004734054
9312877763
10135510060
116a545794
1239470210
13220c778a
1413dd61c0
15bd6b1e0
hex813b82c

135510060 has 96 divisors (see below), whose sum is σ = 459164160. Its totient is φ = 29150208.

The previous prime is 135510041. The next prime is 135510073. The reversal of 135510060 is 60015531.

It is a happy number.

It is a super-2 number, since 2×1355100602 = 36725952722407200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 2350 + ... + 16629.

It is an arithmetic number, because the mean of its divisors is an integer number (4782960).

Almost surely, 2135510060 is an apocalyptic number.

135510060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135510060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229582080).

135510060 is an abundant number, since it is smaller than the sum of its proper divisors (323654100).

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

135510060 is a wasteful number, since it uses less digits than its factorization.

135510060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19015 (or 19013 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 135510060 is about 11640.8788328030. The cubic root of 135510060 is about 513.6380389573.

Adding to 135510060 its reverse (60015531), we get a palindrome (195525591).

The spelling of 135510060 in words is "one hundred thirty-five million, five hundred ten thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 18979 37958 56937 75916 94895 113874 132853 189790 227748 265706 284685 322643 379580 398559 531412 569370 645286 664265 797118 967929 1138740 1290572 1328530 1594236 1613215 1935858 1992795 2258501 2657060 3226430 3871716 3985590 4517002 4839645 6452860 6775503 7971180 9034004 9679290 11292505 13551006 19358580 22585010 27102012 33877515 45170020 67755030 135510060