Search a number
-
+
2106378 = 233192053
BaseRepresentation
bin1000000010010000001010
310222000102000
420002100022
51014401003
6113051430
723622021
oct10022012
93860360
102106378
11120960a
12856b76
135899a1
143cb8b8
152b91a3
hex20240a

2106378 has 32 divisors (see below), whose sum is σ = 4929600. Its totient is φ = 664848.

The previous prime is 2106361. The next prime is 2106383. The reversal of 2106378 is 8736012.

2106378 is a `hidden beast` number, since 21 + 0 + 637 + 8 = 666.

2106378 is a nontrivial binomial coefficient, being equal to C(2053, 2).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1 + ... + 2052.

It is an arithmetic number, because the mean of its divisors is an integer number (154050).

22106378 is an apocalyptic number.

2106378 is the 2052-nd triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464800).

2106378 is an abundant number, since it is smaller than the sum of its proper divisors (2823222).

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

2106378 is a wasteful number, since it uses less digits than its factorization.

2106378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2106378 is about 1451.3366253216. The cubic root of 2106378 is about 128.1874288667.

The spelling of 2106378 in words is "two million, one hundred six thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 2053 4106 6159 12318 18477 36954 39007 55431 78014 110862 117021 234042 351063 702126 1053189 2106378