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2973126 = 231347811
BaseRepresentation
bin1011010101110111000110
312121001100210
423111313012
51230120001
6143420250
734162002
oct13256706
95531323
102973126
111750832
12bb4686
13801360
14575702
153dadd6
hex2d5dc6

2973126 has 32 divisors (see below), whose sum is σ = 6547968. Its totient is φ = 894240.

The previous prime is 2973121. The next prime is 2973151. The reversal of 2973126 is 6213792.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2973093 and 2973102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2973121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3261 + ... + 4071.

It is an arithmetic number, because the mean of its divisors is an integer number (204624).

22973126 is an apocalyptic number.

2973126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2973126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273984).

2973126 is an abundant number, since it is smaller than the sum of its proper divisors (3574842).

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

2973126 is a wasteful number, since it uses less digits than its factorization.

2973126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876.

The product of its digits is 4536, while the sum is 30.

The square root of 2973126 is about 1724.2755000289. The cubic root of 2973126 is about 143.7930089329.

The spelling of 2973126 in words is "two million, nine hundred seventy-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 282 611 811 1222 1622 1833 2433 3666 4866 10543 21086 31629 38117 63258 76234 114351 228702 495521 991042 1486563 2973126