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2160768 = 27317331
BaseRepresentation
bin1000001111100010000000
311001210000110
420033202000
51023121033
6114151320
724236421
oct10174200
94053013
102160768
111246465
12882540
135a867c
14403648
152ca363
hex20f880

2160768 has 64 divisors (see below), whose sum is σ = 6095520. Its totient is φ = 675840.

The previous prime is 2160749. The next prime is 2160773. The reversal of 2160768 is 8670612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6363 + ... + 6693.

22160768 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 2160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047760).

2160768 is an abundant number, since it is smaller than the sum of its proper divisors (3934752).

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

2160768 is a wasteful number, since it uses less digits than its factorization.

2160768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

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

The square root of 2160768 is about 1469.9551013551. The cubic root of 2160768 is about 129.2814000110.

The spelling of 2160768 in words is "two million, one hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 331 384 408 544 662 816 993 1088 1324 1632 1986 2176 2648 3264 3972 5296 5627 6528 7944 10592 11254 15888 16881 21184 22508 31776 33762 42368 45016 63552 67524 90032 127104 135048 180064 270096 360128 540192 720256 1080384 2160768