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6996168 = 233297169
BaseRepresentation
bin11010101100000011001000
3111011102221100
4122230003020
53242334133
6405541400
7113315664
oct32540310
914142840
106996168
113a49363
122414860
1315ac55a
14d018a4
15932e13
hex6ac0c8

6996168 has 24 divisors (see below), whose sum is σ = 18948150. Its totient is φ = 2332032.

The previous prime is 6996167. The next prime is 6996181. The reversal of 6996168 is 8616996.

It can be written as a sum of positive squares in only one way, i.e., 6260004 + 736164 = 2502^2 + 858^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6996167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48513 + ... + 48656.

Almost surely, 26996168 is an apocalyptic number.

It is an amenable number.

6996168 is an abundant number, since it is smaller than the sum of its proper divisors (11951982).

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

6996168 is a wasteful number, since it uses less digits than its factorization.

6996168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97181 (or 97174 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 6996168 is about 2645.0270319980. The cubic root of 6996168 is about 191.2582054662.

The spelling of 6996168 in words is "six million, nine hundred ninety-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97169 194338 291507 388676 583014 777352 874521 1166028 1749042 2332056 3498084 6996168