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2106636 = 223731809
BaseRepresentation
bin1000000010010100001100
310222000202120
420002110030
51014403021
6113052540
723622540
oct10022414
93860676
102106636
111209824
12857150
13589b3c
143cba20
152b92c6
hex20250c

2106636 has 48 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 581760.

The previous prime is 2106631. The next prime is 2106653. The reversal of 2106636 is 6366012.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200 + ... + 3008.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

22106636 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 2106636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2106636 is an abundant number, since it is smaller than the sum of its proper divisors (3699444).

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

2106636 is a wasteful number, since it uses less digits than its factorization.

2106636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2106636 is about 1451.4255061835. The cubic root of 2106636 is about 128.1926623380.

The spelling of 2106636 in words is "two million, one hundred six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 809 868 1302 1618 2427 2604 3236 4854 5663 9708 11326 16989 22652 25079 33978 50158 67956 75237 100316 150474 175553 300948 351106 526659 702212 1053318 2106636