Search a number
-
+
135524268 = 223211342233
BaseRepresentation
bin10000001001111…
…10111110101100
3100110000100100100
420010332332230
5234143234033
621240431100
73233636325
oct1004767654
9313010310
10135524268
116a555430
1239478490
1322101099
1413ddb44c
15bd70513
hex813efac

135524268 has 36 divisors (see below), whose sum is σ = 373719528. Its totient is φ = 41067840.

The previous prime is 135524251. The next prime is 135524269. The reversal of 135524268 is 862425531.

135524268 is a `hidden beast` number, since 1 + 3 + 552 + 42 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135524269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170721 + ... + 171512.

It is an arithmetic number, because the mean of its divisors is an integer number (10381098).

Almost surely, 2135524268 is an apocalyptic number.

135524268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135524268 is an abundant number, since it is smaller than the sum of its proper divisors (238195260).

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

135524268 is a wasteful number, since it uses less digits than its factorization.

135524268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342254 (or 342249 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 135524268 is about 11641.4890800103. The cubic root of 135524268 is about 513.6559896890.

Adding to 135524268 its reverse (862425531), we get a palindrome (997949799).

The spelling of 135524268 in words is "one hundred thirty-five million, five hundred twenty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 342233 684466 1026699 1368932 2053398 3080097 3764563 4106796 6160194 7529126 11293689 12320388 15058252 22587378 33881067 45174756 67762134 135524268