Search a number
-
+
2106188 = 2271937107
BaseRepresentation
bin1000000010001101001100
310222000010222
420002031030
51014344223
6113050512
723621330
oct10021514
93860128
102106188
111209457
12856a38
13589886
143cb7c0
152b90c8
hex20234c

2106188 has 48 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 824256.

The previous prime is 2106173. The next prime is 2106191. The reversal of 2106188 is 8816012.

It is an unprimeable number.

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, 19631 + ... + 19737.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

22106188 is an apocalyptic number.

2106188 is a gapful number since it is divisible by the number (28) 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 2106188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240).

2106188 is an abundant number, since it is smaller than the sum of its proper divisors (2490292).

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

2106188 is a wasteful number, since it uses less digits than its factorization.

2106188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 2106188 is about 1451.2711669430. The cubic root of 2106188 is about 128.1835744867.

The spelling of 2106188 in words is "two million, one hundred six thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 14 19 28 37 38 74 76 107 133 148 214 259 266 428 518 532 703 749 1036 1406 1498 2033 2812 2996 3959 4066 4921 7918 8132 9842 14231 15836 19684 27713 28462 55426 56924 75221 110852 150442 300884 526547 1053094 2106188