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2144129 = 132371101
BaseRepresentation
bin1000001011011110000001
311000221012012
420023132001
51022103004
6113542305
724140051
oct10133601
94027165
102144129
111234a09
12874995
135a0c20
143db561
152c546e
hex20b781

2144129 has 16 divisors (see below), whose sum is σ = 2467584. Its totient is φ = 1848000.

The previous prime is 2144123. The next prime is 2144137. The reversal of 2144129 is 9214412.

2144129 = T214 + T215 + ... + T282.

It is a cyclic number.

It is not a de Polignac number, because 2144129 - 28 = 2143873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21179 + ... + 21279.

It is an arithmetic number, because the mean of its divisors is an integer number (154224).

22144129 is an apocalyptic number.

It is an amenable number.

2144129 is a deficient number, since it is larger than the sum of its proper divisors (323455).

2144129 is a wasteful number, since it uses less digits than its factorization.

2144129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208.

The product of its digits is 576, while the sum is 23.

The square root of 2144129 is about 1464.2844668984. The cubic root of 2144129 is about 128.9487006329.

The spelling of 2144129 in words is "two million, one hundred forty-four thousand, one hundred twenty-nine".

Divisors: 1 13 23 71 101 299 923 1313 1633 2323 7171 21229 30199 93223 164933 2144129