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2146160 = 245139193
BaseRepresentation
bin1000001011111101110000
311001000222102
420023331300
51022134120
6113555532
724146012
oct10137560
94030872
102146160
111236495
12875ba8
135a1b23
143dc1b2
152c5d75
hex20bf70

2146160 has 40 divisors (see below), whose sum is σ = 5051760. Its totient is φ = 847872.

The previous prime is 2146159. The next prime is 2146169. The reversal of 2146160 is 616412.

It is a happy number.

2146160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146169) 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, 11024 + ... + 11216.

It is an arithmetic number, because the mean of its divisors is an integer number (126294).

22146160 is an apocalyptic number.

2146160 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 2146160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525880).

2146160 is an abundant number, since it is smaller than the sum of its proper divisors (2905600).

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

2146160 is a wasteful number, since it uses less digits than its factorization.

2146160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2146160 is about 1464.9778155317. The cubic root of 2146160 is about 128.9894028111.

The spelling of 2146160 in words is "two million, one hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 193 278 386 556 695 772 965 1112 1390 1544 1930 2224 2780 3088 3860 5560 7720 11120 15440 26827 53654 107308 134135 214616 268270 429232 536540 1073080 2146160