Search a number
-
+
2167104 = 26311287
BaseRepresentation
bin1000010001000101000000
311002002201010
420101011000
51023321404
6114240520
724264042
oct10210500
94062633
102167104
1112501a5
12886140
135ab514
14405a92
152cc189
hex211140

2167104 has 28 divisors (see below), whose sum is σ = 5734304. Its totient is φ = 722304.

The previous prime is 2167103. The next prime is 2167111. The reversal of 2167104 is 4017612.

2167104 is digitally balanced in base 5, 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 (2167103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5452 + ... + 5835.

22167104 is an apocalyptic number.

2167104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2167104 is an abundant number, since it is smaller than the sum of its proper divisors (3567200).

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

2167104 is a wasteful number, since it uses less digits than its factorization.

2167104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11302 (or 11292 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2167104 is about 1472.1086916393. The cubic root of 2167104 is about 129.4076402510.

The spelling of 2167104 in words is "two million, one hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 11287 22574 33861 45148 67722 90296 135444 180592 270888 361184 541776 722368 1083552 2167104