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2166129 = 33773157
BaseRepresentation
bin1000010000110101110001
311002001101000
420100311301
51023304004
6114232213
724261150
oct10206561
94061330
102166129
11124a499
12885669
135aac44
14405597
152cbc39
hex210d71

2166129 has 32 divisors (see below), whose sum is σ = 3741440. Its totient is φ = 1213056.

The previous prime is 2166127. The next prime is 2166137. The reversal of 2166129 is 9216612.

It is not a de Polignac number, because 2166129 - 21 = 2166127 is a prime.

It is a super-2 number, since 2×21661292 = 9384229689282, which contains 22 as substring.

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

It is a Duffinian number.

It is a Curzon number.

2166129 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2166121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13719 + ... + 13875.

It is an arithmetic number, because the mean of its divisors is an integer number (116920).

22166129 is an apocalyptic number.

It is an amenable number.

2166129 is a deficient number, since it is larger than the sum of its proper divisors (1575311).

2166129 is a wasteful number, since it uses less digits than its factorization.

2166129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

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

The square root of 2166129 is about 1471.7774967705. Note that the first 3 decimals coincide. The cubic root of 2166129 is about 129.3882301110.

The spelling of 2166129 in words is "two million, one hundred sixty-six thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 21 27 63 73 157 189 219 471 511 657 1099 1413 1533 1971 3297 4239 4599 9891 11461 13797 29673 34383 80227 103149 240681 309447 722043 2166129