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2106918 = 233113547
BaseRepresentation
bin1000000010011000100110
310222001011000
420002120212
51014410133
6113054130
723623422
oct10023046
93861130
102106918
111209a60
12857346
13589cc8
143cbb82
152b9413
hex202626

2106918 has 32 divisors (see below), whose sum is σ = 5109120. Its totient is φ = 638280.

The previous prime is 2106917. The next prime is 2106919. The reversal of 2106918 is 8196012.

It is an interprime number because it is at equal distance from previous prime (2106917) and next prime (2106919).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2106891 and 2106900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180 + ... + 2367.

It is an arithmetic number, because the mean of its divisors is an integer number (159660).

22106918 is an apocalyptic number.

2106918 is an abundant number, since it is smaller than the sum of its proper divisors (3002202).

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

2106918 is a wasteful number, since it uses less digits than its factorization.

2106918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2106918 is about 1451.5226488071. The cubic root of 2106918 is about 128.1983821551.

The spelling of 2106918 in words is "two million, one hundred six thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 3547 7094 10641 21282 31923 39017 63846 78034 95769 117051 191538 234102 351153 702306 1053459 2106918