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2688768 = 2833389
BaseRepresentation
bin1010010000011100000000
312001121022000
422100130000
51142020033
6133344000
731565655
oct12203400
95047260
102688768
111577125
12a98000
13731ab4
144ddc2c
15381a13
hex290700

2688768 has 72 divisors (see below), whose sum is σ = 7971600. Its totient is φ = 893952.

The previous prime is 2688767. The next prime is 2688781. The reversal of 2688768 is 8678862.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6718 + ... + 7106.

22688768 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 2688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985800).

2688768 is an abundant number, since it is smaller than the sum of its proper divisors (5282832).

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

2688768 is an equidigital number, since it uses as much as digits as its factorization.

2688768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 394 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2688768 is about 1639.7463218437. The cubic root of 2688768 is about 139.0543065408.

The spelling of 2688768 in words is "two million, six hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 389 432 576 768 778 864 1152 1167 1556 1728 2304 2334 3112 3456 3501 4668 6224 6912 7002 9336 10503 12448 14004 18672 21006 24896 28008 37344 42012 49792 56016 74688 84024 99584 112032 149376 168048 224064 298752 336096 448128 672192 896256 1344384 2688768