Search a number
-
+
135046791 = 33111373319
BaseRepresentation
bin10000000110010…
…10011010000111
3100102010002101000
420003022122013
5234032444131
621222304343
73226610265
oct1003123207
9312102330
10135046791
116a259720
12392880b3
1321c94959
1413d15435
15bcc8ce6
hex80ca687

135046791 has 32 divisors (see below), whose sum is σ = 219916800. Its totient is φ = 81224640.

The previous prime is 135046783. The next prime is 135046799. The reversal of 135046791 is 197640531.

135046791 is a `hidden beast` number, since 1 + 3 + 504 + 67 + 91 = 666.

It is an interprime number because it is at equal distance from previous prime (135046783) and next prime (135046799).

It is not a de Polignac number, because 135046791 - 23 = 135046783 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135046799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39030 + ... + 42348.

It is an arithmetic number, because the mean of its divisors is an integer number (6872400).

Almost surely, 2135046791 is an apocalyptic number.

135046791 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135046791 is a deficient number, since it is larger than the sum of its proper divisors (84870009).

135046791 is a wasteful number, since it uses less digits than its factorization.

135046791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 135046791 is about 11620.9634282188. The cubic root of 135046791 is about 513.0520449232.

The spelling of 135046791 in words is "one hundred thirty-five million, forty-six thousand, seven hundred ninety-one".

Divisors: 1 3 9 11 27 33 99 137 297 411 1233 1507 3319 3699 4521 9957 13563 29871 36509 40689 89613 109527 328581 454703 985743 1364109 4092327 5001733 12276981 15005199 45015597 135046791