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2168136 = 233230113
BaseRepresentation
bin1000010001010101001000
311002011010100
420101111020
51023340021
6114245400
724300045
oct10212510
94064110
102168136
111250a53
12886860
135abb29
144061cc
152cc626
hex211548

2168136 has 24 divisors (see below), whose sum is σ = 5872230. Its totient is φ = 722688.

The previous prime is 2168107. The next prime is 2168143. The reversal of 2168136 is 6318612.

It can be written as a sum of positive squares in only one way, i.e., 1368900 + 799236 = 1170^2 + 894^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14985 + ... + 15128.

22168136 is an apocalyptic number.

It is an amenable number.

2168136 is an abundant number, since it is smaller than the sum of its proper divisors (3704094).

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

2168136 is a wasteful number, since it uses less digits than its factorization.

2168136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30125 (or 30118 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2168136 is about 1472.4591675154. The cubic root of 2168136 is about 129.4281787963.

It can be divided in two parts, 2168 and 136, that added together give a square (2304 = 482).

The spelling of 2168136 in words is "two million, one hundred sixty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 30113 60226 90339 120452 180678 240904 271017 361356 542034 722712 1084068 2168136