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2129166 = 23513337
BaseRepresentation
bin1000000111110100001110
311000011200000
420013310032
51021113131
6113345130
724045324
oct10076416
94004600
102129166
111224746
128681a6
13597180
143d5d14
152c0ce6
hex207d0e

2129166 has 48 divisors (see below), whose sum is σ = 5167344. Its totient is φ = 653184.

The previous prime is 2129161. The next prime is 2129167. The reversal of 2129166 is 6619212.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6150 + ... + 6486.

It is an arithmetic number, because the mean of its divisors is an integer number (107653).

22129166 is an apocalyptic number.

2129166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583672).

2129166 is an abundant number, since it is smaller than the sum of its proper divisors (3038178).

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

2129166 is a wasteful number, since it uses less digits than its factorization.

2129166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2129166 is about 1459.1662002664. The cubic root of 2129166 is about 128.6480400550.

The spelling of 2129166 in words is "two million, one hundred twenty-nine thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 337 351 486 674 702 1011 1053 2022 2106 3033 3159 4381 6066 6318 8762 9099 13143 18198 26286 27297 39429 54594 78858 81891 118287 163782 236574 354861 709722 1064583 2129166