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10135530 = 23554397
BaseRepresentation
bin100110101010…
…011111101010
3201001221100000
4212222133222
510043314110
61001123430
7152102436
oct46523752
921057300
1010135530
1157a2a79
123489576
13213b472
1414bb9c6
15d531c0
hex9aa7ea

10135530 has 96 divisors (see below), whose sum is σ = 28252224. Its totient is φ = 2612736.

The previous prime is 10135513. The next prime is 10135537. The reversal of 10135530 is 3553101.

It is a happy number.

10135530 is a `hidden beast` number, since 1 + 0 + 135 + 530 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10135537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104442 + ... + 104538.

It is an arithmetic number, because the mean of its divisors is an integer number (294294).

Almost surely, 210135530 is an apocalyptic number.

10135530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10135530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126112).

10135530 is an abundant number, since it is smaller than the sum of its proper divisors (18116694).

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

10135530 is an equidigital number, since it uses as much as digits as its factorization.

10135530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 10135530 is about 3183.6347152272. The cubic root of 10135530 is about 216.4124065398.

Adding to 10135530 its reverse (3553101), we get a palindrome (13688631).

The spelling of 10135530 in words is "ten million, one hundred thirty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 97 129 135 162 194 215 243 258 270 291 387 405 430 485 486 582 645 774 810 873 970 1161 1215 1290 1455 1746 1935 2322 2430 2619 2910 3483 3870 4171 4365 5238 5805 6966 7857 8342 8730 10449 11610 12513 13095 15714 17415 20855 20898 23571 25026 26190 34830 37539 39285 41710 47142 52245 62565 75078 78570 104490 112617 117855 125130 187695 225234 235710 337851 375390 563085 675702 1013553 1126170 1689255 2027106 3378510 5067765 10135530