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2164071 = 37137927
BaseRepresentation
bin1000010000010101100111
311001221112210
420100111213
51023222241
6114214503
724252150
oct10202547
94057483
102164071
111248998
12884433
135aa020
14404927
152cb316
hex210567

2164071 has 16 divisors (see below), whose sum is σ = 3551744. Its totient is φ = 1141344.

The previous prime is 2164039. The next prime is 2164073. The reversal of 2164071 is 1704612.

2164071 = T171 + T172 + ... + T261.

It is not a de Polignac number, because 2164071 - 25 = 2164039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164073) 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, 3691 + ... + 4236.

It is an arithmetic number, because the mean of its divisors is an integer number (221984).

22164071 is an apocalyptic number.

2164071 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2164071 is a deficient number, since it is larger than the sum of its proper divisors (1387673).

2164071 is a wasteful number, since it uses less digits than its factorization.

2164071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7950.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2164071 is about 1471.0781760328. The cubic root of 2164071 is about 129.3472406544.

Adding to 2164071 its reverse (1704612), we get a palindrome (3868683).

The spelling of 2164071 in words is "two million, one hundred sixty-four thousand, seventy-one".

Divisors: 1 3 7 13 21 39 91 273 7927 23781 55489 103051 166467 309153 721357 2164071