Search a number
-
+
2192120 = 23577829
BaseRepresentation
bin1000010111001011111000
311010101000122
420113023320
51030121440
6114552412
724430010
oct10271370
94111018
102192120
111267a77
12898708
135b9a18
14410c40
152d47b5
hex2172f8

2192120 has 32 divisors (see below), whose sum is σ = 5637600. Its totient is φ = 751488.

The previous prime is 2192111. The next prime is 2192123. The reversal of 2192120 is 212912.

2192120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2192123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3635 + ... + 4194.

It is an arithmetic number, because the mean of its divisors is an integer number (176175).

22192120 is an apocalyptic number.

2192120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2192120 is an abundant number, since it is smaller than the sum of its proper divisors (3445480).

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

2192120 is a wasteful number, since it uses less digits than its factorization.

2192120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847 (or 7843 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2192120 is about 1480.5809670531. The cubic root of 2192120 is about 129.9036761808.

The spelling of 2192120 in words is "two million, one hundred ninety-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 7829 15658 31316 39145 54803 62632 78290 109606 156580 219212 274015 313160 438424 548030 1096060 2192120