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2164136 = 231320809
BaseRepresentation
bin1000010000010110101000
311001221122012
420100112220
51023223021
6114215052
724252302
oct10202650
94057565
102164136
111248a47
12884488
135aa070
14404972
152cb35b
hex2105a8

2164136 has 16 divisors (see below), whose sum is σ = 4370100. Its totient is φ = 998784.

The previous prime is 2164121. The next prime is 2164171. The reversal of 2164136 is 6314612.

It is a happy number.

2164136 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 1943236 + 220900 = 1394^2 + 470^2 .

It is a zygodrome in base 12.

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 3 ways as a sum of consecutive naturals, for example, 10301 + ... + 10508.

22164136 is an apocalyptic number.

2164136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2164136 is an abundant number, since it is smaller than the sum of its proper divisors (2205964).

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

2164136 is a wasteful number, since it uses less digits than its factorization.

2164136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20828 (or 20824 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 2164136 is about 1471.1002685065. The cubic root of 2164136 is about 129.3485356653.

Adding to 2164136 its reverse (6314612), we get a palindrome (8478748).

The spelling of 2164136 in words is "two million, one hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 20809 41618 83236 166472 270517 541034 1082068 2164136