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2106112 = 2819433
BaseRepresentation
bin1000000010001100000000
310222000001011
420002030000
51014343422
6113050304
723621161
oct10021400
93860034
102106112
111209398
12856994
13589828
143cb768
152b9077
hex202300

2106112 has 36 divisors (see below), whose sum is σ = 4435480. Its totient is φ = 995328.

The previous prime is 2106107. The next prime is 2106149. The reversal of 2106112 is 2116012.

It is a junction number, because it is equal to n+sod(n) for n = 2106092 and 2106101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4648 + ... + 5080.

22106112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217740).

2106112 is an abundant number, since it is smaller than the sum of its proper divisors (2329368).

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

2106112 is an equidigital number, since it uses as much as digits as its factorization.

2106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2106112 is about 1451.2449827648. The cubic root of 2106112 is about 128.1820326698.

The spelling of 2106112 in words is "two million, one hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 433 608 866 1216 1732 2432 3464 4864 6928 8227 13856 16454 27712 32908 55424 65816 110848 131632 263264 526528 1053056 2106112