Search a number
-
+
135510630 = 23543731439
BaseRepresentation
bin10000001001110…
…11101001100110
3100102222122122020
420010323221212
5234142320010
621240244010
73233551503
oct1004735146
9312878566
10135510630
116a546162
1239470606
13220c7b08
1413dd64aa
15bd6b470
hex813ba66

135510630 has 64 divisors (see below), whose sum is σ = 337582080. Its totient is φ = 34788096.

The previous prime is 135510629. The next prime is 135510637. The reversal of 135510630 is 36015531.

It is a self number, because there is not a number n which added to its sum of digits gives 135510630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135510637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93451 + ... + 94889.

It is an arithmetic number, because the mean of its divisors is an integer number (5274720).

Almost surely, 2135510630 is an apocalyptic number.

135510630 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 135510630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168791040).

135510630 is an abundant number, since it is smaller than the sum of its proper divisors (202071450).

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

135510630 is a wasteful number, since it uses less digits than its factorization.

135510630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 135510630 is about 11640.9033154648. The cubic root of 135510630 is about 513.6387591333.

The spelling of 135510630 in words is "one hundred thirty-five million, five hundred ten thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 73 86 129 146 215 219 258 365 430 438 645 730 1095 1290 1439 2190 2878 3139 4317 6278 7195 8634 9417 14390 15695 18834 21585 31390 43170 47085 61877 94170 105047 123754 185631 210094 309385 315141 371262 525235 618770 630282 928155 1050470 1575705 1856310 3151410 4517021 9034042 13551063 22585105 27102126 45170210 67755315 135510630