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7068768 = 253767157
BaseRepresentation
bin11010111101110001100000
3111022010112020
4122331301200
53302200033
6411301440
7114040440
oct32756140
914263466
107068768
113a98963
12244a880
131606605
14d20120
159496b3
hex6bdc60

7068768 has 96 divisors (see below), whose sum is σ = 21659904. Its totient is φ = 1976832.

The previous prime is 7068767. The next prime is 7068773. The reversal of 7068768 is 8678607.

7068768 is digitally balanced in base 4 and base 8, because in such bases 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

7068768 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7068767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44946 + ... + 45102.

It is an arithmetic number, because the mean of its divisors is an integer number (225624).

Almost surely, 27068768 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 7068768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10829952).

7068768 is an abundant number, since it is smaller than the sum of its proper divisors (14591136).

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

7068768 is a wasteful number, since it uses less digits than its factorization.

7068768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 7068768 is about 2658.7154793246. The cubic root of 7068768 is about 191.9174992775.

The spelling of 7068768 in words is "seven million, sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 67 84 96 112 134 157 168 201 224 268 314 336 402 469 471 536 628 672 804 938 942 1072 1099 1256 1407 1608 1876 1884 2144 2198 2512 2814 3216 3297 3752 3768 4396 5024 5628 6432 6594 7504 7536 8792 10519 11256 13188 15008 15072 17584 21038 22512 26376 31557 35168 42076 45024 52752 63114 73633 84152 105504 126228 147266 168304 220899 252456 294532 336608 441798 504912 589064 883596 1009824 1178128 1767192 2356256 3534384 7068768