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6706128 = 2431113977
BaseRepresentation
bin11001100101001111010000
3110121201002010
4121211033100
53204044003
6355422520
7111000252
oct31451720
913551063
106706128
113870460
1222b4a40
13150a530
14c67cd2
158c7003
hex6653d0

6706128 has 80 divisors (see below), whose sum is σ = 20373696. Its totient is φ = 1873920.

The previous prime is 6706121. The next prime is 6706129. The reversal of 6706128 is 8216076.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6706095 and 6706104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6706121) 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 15 ways as a sum of consecutive naturals, for example, 6376 + ... + 7352.

Almost surely, 26706128 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 6706128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10186848).

6706128 is an abundant number, since it is smaller than the sum of its proper divisors (13667568).

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

6706128 is a wasteful number, since it uses less digits than its factorization.

6706128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 6706128 is about 2589.6192770367. The cubic root of 6706128 is about 188.5778208511.

The spelling of 6706128 in words is "six million, seven hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 977 1144 1716 1954 2288 2931 3432 3908 5862 6864 7816 10747 11724 12701 15632 21494 23448 25402 32241 38103 42988 46896 50804 64482 76206 85976 101608 128964 139711 152412 171952 203216 257928 279422 304824 419133 515856 558844 609648 838266 1117688 1676532 2235376 3353064 6706128