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2135116 = 224147277
BaseRepresentation
bin1000001001010001001100
311000110211101
420021101030
51021310431
6113432444
724101554
oct10112114
94013741
102135116
111229165
1286b724
13599aa9
143d8164
152c2961
hex20944c

2135116 has 24 divisors (see below), whose sum is σ = 3923136. Its totient is φ = 1015680.

The previous prime is 2135101. The next prime is 2135117. The reversal of 2135116 is 6115312.

It is a junction number, because it is equal to n+sod(n) for n = 2135093 and 2135102.

It is not an unprimeable number, because it can be changed into a prime (2135117) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7570 + ... + 7846.

It is an arithmetic number, because the mean of its divisors is an integer number (163464).

22135116 is an apocalyptic number.

It is an amenable number.

2135116 is a deficient number, since it is larger than the sum of its proper divisors (1788020).

2135116 is a wasteful number, since it uses less digits than its factorization.

2135116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 367 counting only the distinct ones).

The product of its digits is 180, while the sum is 19.

The square root of 2135116 is about 1461.2036134639. The cubic root of 2135116 is about 128.7677651673.

It can be divided in two parts, 213 and 5116, that added together give a square (5329 = 732).

The spelling of 2135116 in words is "two million, one hundred thirty-five thousand, one hundred sixteen".

Divisors: 1 2 4 41 47 82 94 164 188 277 554 1108 1927 3854 7708 11357 13019 22714 26038 45428 52076 533779 1067558 2135116