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6135012 = 22321313109
BaseRepresentation
bin10111011001110011100100
3102112200122200
4113121303210
53032310022
6335254500
7103101222
oct27316344
912480580
106135012
113510364
12207a430
13136a5b0
14b59b12
15812bac
hex5d9ce4

6135012 has 36 divisors (see below), whose sum is σ = 16702140. Its totient is φ = 1887552.

The previous prime is 6134983. The next prime is 6135023. The reversal of 6135012 is 2105316.

6135012 is a `hidden beast` number, since 613 + 50 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1572516 + 4562496 = 1254^2 + 2136^2 .

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 (18).

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 11 ways as a sum of consecutive naturals, for example, 6087 + ... + 7022.

Almost surely, 26135012 is an apocalyptic number.

It is an amenable number.

6135012 is an abundant number, since it is smaller than the sum of its proper divisors (10567128).

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

6135012 is a wasteful number, since it uses less digits than its factorization.

6135012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13132 (or 13127 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 6135012 is about 2476.8956376884. The cubic root of 6135012 is about 183.0649236630.

It can be divided in two parts, 613 and 5012, that added together give a square (5625 = 752).

The spelling of 6135012 in words is "six million, one hundred thirty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 13109 26218 39327 52436 78654 117981 157308 170417 235962 340834 471924 511251 681668 1022502 1533753 2045004 3067506 6135012