Search a number
-
+
2166084 = 223260169
BaseRepresentation
bin1000010000110101000100
311002001022100
420100311010
51023303314
6114232100
724261054
oct10206504
94061270
102166084
11124a458
12885630
135aac0b
14405564
152cbc09
hex210d44

2166084 has 18 divisors (see below), whose sum is σ = 5475470. Its totient is φ = 722016.

The previous prime is 2166077. The next prime is 2166113. The reversal of 2166084 is 4806612.

It can be written as a sum of positive squares in only one way, i.e., 2160900 + 5184 = 1470^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

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 5 ways as a sum of consecutive naturals, for example, 30049 + ... + 30120.

22166084 is an apocalyptic number.

It is an amenable number.

2166084 is an abundant number, since it is smaller than the sum of its proper divisors (3309386).

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

2166084 is a wasteful number, since it uses less digits than its factorization.

2166084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60179 (or 60174 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2166084 is about 1471.7622090542. The cubic root of 2166084 is about 129.3873341178.

It can be divided in two parts, 216608 and 4, that added together give a palindrome (216612).

The spelling of 2166084 in words is "two million, one hundred sixty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 60169 120338 180507 240676 361014 541521 722028 1083042 2166084