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2129112 = 23339857
BaseRepresentation
bin1000000111110011011000
311000011121000
420013303120
51021112422
6113345000
724045216
oct10076330
94004530
102129112
1112246a7
12868160
1359713b
143d5cb6
152c0cac
hex207cd8

2129112 has 32 divisors (see below), whose sum is σ = 5914800. Its totient is φ = 709632.

The previous prime is 2129107. The next prime is 2129119. The reversal of 2129112 is 2119212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4713 + ... + 5144.

22129112 is an apocalyptic number.

It is an amenable number.

2129112 is an abundant number, since it is smaller than the sum of its proper divisors (3785688).

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

2129112 is a wasteful number, since it uses less digits than its factorization.

2129112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9872 (or 9862 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 2129112 is about 1459.1476964310. The cubic root of 2129112 is about 128.6469524534.

The spelling of 2129112 in words is "two million, one hundred twenty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 9857 19714 29571 39428 59142 78856 88713 118284 177426 236568 266139 354852 532278 709704 1064556 2129112