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7960068 = 2232415393
BaseRepresentation
bin11110010111011000000100
3112222102011100
4132113120010
54014210233
6442340100
7124442124
oct36273004
915872140
107960068
114547576
1227ba630
1318591cc
1410b2c84
15a73813
hex797604

7960068 has 36 divisors (see below), whose sum is σ = 20615868. Its totient is φ = 2588160.

The previous prime is 7960067. The next prime is 7960079. The reversal of 7960068 is 8600697.

7960068 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3992004 + 3968064 = 1998^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7960067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1221 + ... + 4172.

It is an arithmetic number, because the mean of its divisors is an integer number (572663).

Almost surely, 27960068 is an apocalyptic number.

It is an amenable number.

7960068 is an abundant number, since it is smaller than the sum of its proper divisors (12655800).

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

7960068 is a wasteful number, since it uses less digits than its factorization.

7960068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5444 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7960068 is about 2821.3592468879. The cubic root of 7960068 is about 199.6666781246. Note that the first 4 decimals are identical.

The spelling of 7960068 in words is "seven million, nine hundred sixty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 5393 10786 16179 21572 32358 48537 64716 97074 194148 221113 442226 663339 884452 1326678 1990017 2653356 3980034 7960068