Search a number
-
+
6696108 = 2235832
BaseRepresentation
bin11001100010110010101100
3110121012100000
4121202302230
53203233413
6355304300
7110626116
oct31426254
913535300
106696108
113863981
1222ab090
131505ac3
14c643b6
158c4073
hex662cac

6696108 has 54 divisors (see below), whose sum is σ = 17767204. Its totient is φ = 2205144.

The previous prime is 6696103. The next prime is 6696127. The reversal of 6696108 is 8016966.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (54).

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 (6696101) 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 17 ways as a sum of consecutive naturals, for example, 80635 + ... + 80717.

Almost surely, 26696108 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 6696108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8883602).

6696108 is an abundant number, since it is smaller than the sum of its proper divisors (11071096).

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

6696108 is an equidigital number, since it uses as much as digits as its factorization.

6696108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6696108 is about 2587.6839065079. The cubic root of 6696108 is about 188.4838524866.

Multiplying 6696108 by its product of nonzero digits (15552), we get a square (104137871616 = 3227042).

The spelling of 6696108 in words is "six million, six hundred ninety-six thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 243 249 324 332 486 498 747 972 996 1494 2241 2988 4482 6723 6889 8964 13446 13778 20169 20667 26892 27556 40338 41334 62001 80676 82668 124002 186003 248004 372006 558009 744012 1116018 1674027 2232036 3348054 6696108