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2126106 = 232294073
BaseRepresentation
bin1000000111000100011010
311000000110200
420013010122
51021013411
6113323030
724033363
oct10070432
94000420
102126106
111222414
12866476
13595968
143d4b6a
152bee56
hex20711a

2126106 has 24 divisors (see below), whose sum is σ = 4766580. Its totient is φ = 684096.

The previous prime is 2126101. The next prime is 2126129. The reversal of 2126106 is 6016212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2030625 + 95481 = 1425^2 + 309^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1515 + ... + 2558.

22126106 is an apocalyptic number.

2126106 is an abundant number, since it is smaller than the sum of its proper divisors (2640474).

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

2126106 is a wasteful number, since it uses less digits than its factorization.

2126106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2126106 is about 1458.1172792337. The cubic root of 2126106 is about 128.5863802718.

The spelling of 2126106 in words is "two million, one hundred twenty-six thousand, one hundred six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 4073 8146 12219 24438 36657 73314 118117 236234 354351 708702 1063053 2126106