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3126006 = 233136173
BaseRepresentation
bin1011111011001011110110
312212211002000
423323023312
51300013011
6151000130
735366502
oct13731366
95784060
103126006
111845684
121069046
13855b10
145b5302
1541b356
hex2fb2f6

3126006 has 64 divisors (see below), whose sum is σ = 7707840. Its totient is φ = 933120.

The previous prime is 3126001. The next prime is 3126007. The reversal of 3126006 is 6006213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 3126006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3126001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42786 + ... + 42858.

It is an arithmetic number, because the mean of its divisors is an integer number (120435).

Almost surely, 23126006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3126006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853920).

3126006 is an abundant number, since it is smaller than the sum of its proper divisors (4581834).

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

3126006 is a wasteful number, since it uses less digits than its factorization.

3126006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3126006 is about 1768.0514698390. The cubic root of 3126006 is about 146.2165735573.

The spelling of 3126006 in words is "three million, one hundred twenty-six thousand, six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 73 78 117 122 146 183 219 234 351 366 438 549 657 702 793 949 1098 1314 1586 1647 1898 1971 2379 2847 3294 3942 4453 4758 5694 7137 8541 8906 13359 14274 17082 21411 25623 26718 40077 42822 51246 57889 80154 115778 120231 173667 240462 347334 521001 1042002 1563003 3126006