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2164386 = 237291777
BaseRepresentation
bin1000010000011010100010
311001221222110
420100122202
51023230021
6114220150
724253110
oct10203242
94057873
102164386
111249154
12884656
135aa203
14404ab0
152cb476
hex2106a2

2164386 has 32 divisors (see below), whose sum is σ = 5120640. Its totient is φ = 596736.

The previous prime is 2164367. The next prime is 2164387. The reversal of 2164386 is 6834612.

It is a super-3 number, since 3×21643863 = 30417632114722633368, which contains 333 as substring.

It is a d-powerful number, because it can be written as 27 + 1 + 63 + 43 + 310 + 87 + 65 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2164387) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 330 + ... + 2106.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

22164386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560320).

2164386 is an abundant number, since it is smaller than the sum of its proper divisors (2956254).

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

2164386 is a wasteful number, since it uses less digits than its factorization.

2164386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818.

The product of its digits is 6912, while the sum is 30.

The square root of 2164386 is about 1471.1852364675. The cubic root of 2164386 is about 129.3535162347.

Adding to 2164386 its reverse (6834612), we get a palindrome (8998998).

It can be divided in two parts, 216 and 4386, that multiplied together give a triangular number (947376 = T1376).

The spelling of 2164386 in words is "two million, one hundred sixty-four thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 1777 3554 5331 10662 12439 24878 37317 51533 74634 103066 154599 309198 360731 721462 1082193 2164386