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135493965 = 345973449
BaseRepresentation
bin10000001001101…
…11100101001101
3100102221210210000
420010313211031
5234141301330
621240034513
73233452065
oct1004674515
9312853700
10135493965
116a534692
1239462a39
13220c0359
1413dd03a5
15bd66560
hex813794d

135493965 has 40 divisors (see below), whose sum is σ = 245460600. Its totient is φ = 71497728.

The previous prime is 135493949. The next prime is 135493973. The reversal of 135493965 is 569394531.

135493965 is a `hidden beast` number, since 13 + 549 + 3 + 96 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 492804 + 135001161 = 702^2 + 11619^2 .

It is not a de Polignac number, because 135493965 - 24 = 135493949 is a prime.

It is a super-2 number, since 2×1354939652 = 36717229102842450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 135493965.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 37561 + ... + 41009.

It is an arithmetic number, because the mean of its divisors is an integer number (6136515).

Almost surely, 2135493965 is an apocalyptic number.

135493965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135493965 is a deficient number, since it is larger than the sum of its proper divisors (109966635).

135493965 is an equidigital number, since it uses as much as digits as its factorization.

135493965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3554 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 135493965 is about 11640.1874984899. The cubic root of 135493965 is about 513.6177026281.

The spelling of 135493965 in words is "one hundred thirty-five million, four hundred ninety-three thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 97 135 291 405 485 873 1455 2619 3449 4365 7857 10347 13095 17245 31041 39285 51735 93123 155205 279369 334553 465615 1003659 1396845 1672765 3010977 5018295 9032931 15054885 27098793 45164655 135493965