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2168140 = 2251331269
BaseRepresentation
bin1000010001010101001100
311002011010111
420101111030
51023340030
6114245404
724300052
oct10212514
94064114
102168140
111250a57
12886864
135abb30
144061d2
152cc62a
hex21154c

2168140 has 48 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 771840.

The previous prime is 2168107. The next prime is 2168143. The reversal of 2168140 is 418612.

It is not an unprimeable number, because it can be changed into a prime (2168143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7926 + ... + 8194.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

22168140 is an apocalyptic number.

2168140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2168140 is an abundant number, since it is smaller than the sum of its proper divisors (2912180).

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

2168140 is a wasteful number, since it uses less digits than its factorization.

2168140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 2168140 is about 1472.4605257867. The cubic root of 2168140 is about 129.4282583904.

The spelling of 2168140 in words is "two million, one hundred sixty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 269 310 403 538 620 806 1076 1345 1612 2015 2690 3497 4030 5380 6994 8060 8339 13988 16678 17485 33356 34970 41695 69940 83390 108407 166780 216814 433628 542035 1084070 2168140