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135061047 = 3311241341
BaseRepresentation
bin10000000110011…
…01111000110111
3100102010210221000
420003031320313
5234033423142
621222454343
73226666662
oct1003157067
9312123830
10135061047
116a269400
12392943b3
1321c9b2a4
1413d1a6d9
15bccd14c
hex80cde37

135061047 has 24 divisors (see below), whose sum is σ = 219939440. Its totient is φ = 81853200.

The previous prime is 135061027. The next prime is 135061061. The reversal of 135061047 is 740160531.

135061047 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 610 + 47 = 666.

135061047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135061047 - 28 = 135060791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135061047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135061027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17404 + ... + 23937.

Almost surely, 2135061047 is an apocalyptic number.

135061047 is a deficient number, since it is larger than the sum of its proper divisors (84878393).

135061047 is a wasteful number, since it uses less digits than its factorization.

135061047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41372 (or 41355 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 135061047 is about 11621.5767863057. The cubic root of 135061047 is about 513.0700974628.

The spelling of 135061047 in words is "one hundred thirty-five million, sixty-one thousand, forty-seven".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 41341 124023 372069 454751 1116207 1364253 4092759 5002261 12278277 15006783 45020349 135061047