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2067168 = 25361353
BaseRepresentation
bin111111000101011100000
310220000121210
413320223200
51012122133
6112150120
723366505
oct7705340
93800553
102067168
111192104
12838340
13574b9c
143bb4ac
152ac763
hex1f8ae0

2067168 has 48 divisors (see below), whose sum is σ = 5530896. Its totient is φ = 675840.

The previous prime is 2067137. The next prime is 2067187. The reversal of 2067168 is 8617602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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, 5680 + ... + 6032.

It is an arithmetic number, because the mean of its divisors is an integer number (115227).

22067168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765448).

2067168 is an abundant number, since it is smaller than the sum of its proper divisors (3463728).

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

2067168 is a wasteful number, since it uses less digits than its factorization.

2067168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2067168 is about 1437.7649321082. The cubic root of 2067168 is about 127.3870433638.

The spelling of 2067168 in words is "two million, sixty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 353 366 488 706 732 976 1059 1412 1464 1952 2118 2824 2928 4236 5648 5856 8472 11296 16944 21533 33888 43066 64599 86132 129198 172264 258396 344528 516792 689056 1033584 2067168