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8068768 = 251923577
BaseRepresentation
bin11110110001111010100000
3120011221021021
4132301322200
54031200033
6444535224
7125404051
oct36617240
916157237
108068768
114611204
122851514
131896826
141100728
15a95b2d
hex7b1ea0

8068768 has 48 divisors (see below), whose sum is σ = 17478720. Its totient is φ = 3649536.

The previous prime is 8068729. The next prime is 8068769. The reversal of 8068768 is 8678608.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8068769) 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, 13696 + ... + 14272.

It is an arithmetic number, because the mean of its divisors is an integer number (364140).

Almost surely, 28068768 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 8068768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8739360).

8068768 is an abundant number, since it is smaller than the sum of its proper divisors (9409952).

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

8068768 is a wasteful number, since it uses less digits than its factorization.

8068768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 8068768 is about 2840.5576917218. The cubic root of 8068768 is about 200.5714324366.

It can be divided in two parts, 8068 and 768, that added together give a square (8836 = 942).

The spelling of 8068768 in words is "eight million, sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 577 608 736 874 1154 1748 2308 3496 4616 6992 9232 10963 13271 13984 18464 21926 26542 43852 53084 87704 106168 175408 212336 252149 350816 424672 504298 1008596 2017192 4034384 8068768