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2168768 = 26747103
BaseRepresentation
bin1000010001011111000000
311002011222202
420101133000
51023400033
6114252332
724301640
oct10213700
94064882
102168768
111251478
128870a8
135ac1c4
14406520
152cc8e8
hex2117c0

2168768 has 56 divisors (see below), whose sum is σ = 5071872. Its totient is φ = 900864.

The previous prime is 2168753. The next prime is 2168797. The reversal of 2168768 is 8678612.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21005 + ... + 21107.

22168768 is an apocalyptic number.

2168768 is a gapful number since it is divisible by the number (28) 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 2168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535936).

2168768 is an abundant number, since it is smaller than the sum of its proper divisors (2903104).

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

2168768 is a wasteful number, since it uses less digits than its factorization.

2168768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 2168768 is about 1472.6737588482. The cubic root of 2168768 is about 129.4407534476.

The spelling of 2168768 in words is "two million, one hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 103 112 188 206 224 329 376 412 448 658 721 752 824 1316 1442 1504 1648 2632 2884 3008 3296 4841 5264 5768 6592 9682 10528 11536 19364 21056 23072 33887 38728 46144 67774 77456 135548 154912 271096 309824 542192 1084384 2168768