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135005052 = 223713123631
BaseRepresentation
bin10000000110000…
…00001101111100
3100102000222010010
420003000031330
5234030130202
621221343220
73226344510
oct1003001574
9312028103
10135005052
116a230326
1239267b10
1321c7b960
1413d04140
15bcbb76c
hex80c037c

135005052 has 48 divisors (see below), whose sum is σ = 387709952. Its totient is φ = 35605440.

The previous prime is 135005021. The next prime is 135005053. The reversal of 135005052 is 250500531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135005053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60724 + ... + 62907.

Almost surely, 2135005052 is an apocalyptic number.

135005052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135005052 is an abundant number, since it is smaller than the sum of its proper divisors (252704900).

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

135005052 is a wasteful number, since it uses less digits than its factorization.

135005052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123658 (or 123656 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 135005052 is about 11619.1674400535. The cubic root of 135005052 is about 512.9991830332. Note that the first 3 decimals are identical.

Adding to 135005052 its reverse (250500531), we get a palindrome (385505583).

The spelling of 135005052 in words is "one hundred thirty-five million, five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 123631 247262 370893 494524 741786 865417 1483572 1607203 1730834 2596251 3214406 3461668 4821609 5192502 6428812 9643218 10385004 11250421 19286436 22500842 33751263 45001684 67502526 135005052