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2106632 = 231137647
BaseRepresentation
bin1000000010010100001000
310222000202102
420002110020
51014403012
6113052532
723622533
oct10022410
93860672
102106632
111209820
12857148
13589b38
143cba1a
152b92c2
hex202508

2106632 has 32 divisors (see below), whose sum is σ = 4432320. Its totient is φ = 930240.

The previous prime is 2106631. The next prime is 2106653. The reversal of 2106632 is 2366012.

It is not an unprimeable number, because it can be changed into a prime (2106631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2933 + ... + 3579.

It is an arithmetic number, because the mean of its divisors is an integer number (138510).

22106632 is an apocalyptic number.

2106632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216160).

2106632 is an abundant number, since it is smaller than the sum of its proper divisors (2325688).

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

2106632 is a wasteful number, since it uses less digits than its factorization.

2106632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2106632 is about 1451.4241282272. The cubic root of 2106632 is about 128.1925812022.

The spelling of 2106632 in words is "two million, one hundred six thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 647 814 1294 1628 2588 3256 5176 7117 14234 23939 28468 47878 56936 95756 191512 263329 526658 1053316 2106632