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7076768 = 253743139
BaseRepresentation
bin11010111111101110100000
3111022112111112
4122333232200
53302424033
6411402452
7114102656
oct32775640
914275445
107076768
113aa3976
122453428
13160a14a
14d22dd6
1594bc48
hex6bfba0

7076768 has 48 divisors (see below), whose sum is σ = 14747040. Its totient is φ = 3338496.

The previous prime is 7076761. The next prime is 7076791. The reversal of 7076768 is 8676707.

It is not an unprimeable number, because it can be changed into a prime (7076761) 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, 50843 + ... + 50981.

It is an arithmetic number, because the mean of its divisors is an integer number (307230).

Almost surely, 27076768 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 7076768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373520).

7076768 is an abundant number, since it is smaller than the sum of its proper divisors (7670272).

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

7076768 is a wasteful number, since it uses less digits than its factorization.

7076768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 41.

The square root of 7076768 is about 2660.2195398125. The cubic root of 7076768 is about 191.9898721510.

The spelling of 7076768 in words is "seven million, seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 43 74 86 139 148 172 278 296 344 556 592 688 1112 1184 1376 1591 2224 3182 4448 5143 5977 6364 10286 11954 12728 20572 23908 25456 41144 47816 50912 82288 95632 164576 191264 221149 442298 884596 1769192 3538384 7076768