Search a number
-
+
2084973 = 311234167
BaseRepresentation
bin111111101000001101101
310220221001020
413331001231
51013204343
6112404353
723502432
oct7750155
93827036
102084973
1111a4520
128466b9
13580017
143c3b89
152b2b83
hex1fd06d

2084973 has 32 divisors (see below), whose sum is σ = 3290112. Its totient is φ = 1161600.

The previous prime is 2084947. The next prime is 2084977. The reversal of 2084973 is 3794802.

It is not a de Polignac number, because 2084973 - 212 = 2080877 is a prime.

It is a super-2 number, since 2×20849732 = 8694224821458, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31086 + ... + 31152.

It is an arithmetic number, because the mean of its divisors is an integer number (102816).

22084973 is an apocalyptic number.

2084973 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2084973 is a deficient number, since it is larger than the sum of its proper divisors (1205139).

2084973 is a wasteful number, since it uses less digits than its factorization.

2084973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2084973 is about 1443.9435584537. The cubic root of 2084973 is about 127.7517364000.

The spelling of 2084973 in words is "two million, eighty-four thousand, nine hundred seventy-three".

Divisors: 1 3 11 23 33 41 67 69 123 201 253 451 737 759 943 1353 1541 2211 2747 2829 4623 8241 10373 16951 30217 31119 50853 63181 90651 189543 694991 2084973