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4137126 = 237137719
BaseRepresentation
bin1111110010000010100110
321210012001220
433302002212
52024342001
6224401210
750110410
oct17620246
97705056
104137126
112376314
121476206
13b1b106
147999b0
1556ac36
hex3f20a6

4137126 has 32 divisors (see below), whose sum is σ = 9538560. Its totient is φ = 1171776.

The previous prime is 4137121. The next prime is 4137149. The reversal of 4137126 is 6217314.

4137126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

4137126 is a nontrivial binomial coefficient, being equal to C(2877, 2).

It is a junction number, because it is equal to n+sod(n) for n = 4137096 and 4137105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137121) 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, 5395 + ... + 6113.

It is an arithmetic number, because the mean of its divisors is an integer number (298080).

Almost surely, 24137126 is an apocalyptic number.

4137126 is the 2876-th triangular number.

4137126 is an abundant number, since it is smaller than the sum of its proper divisors (5401434).

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

4137126 is a wasteful number, since it uses less digits than its factorization.

4137126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868.

The product of its digits is 1008, while the sum is 24.

The square root of 4137126 is about 2033.9926253554. The cubic root of 4137126 is about 160.5337125057.

The spelling of 4137126 in words is "four million, one hundred thirty-seven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 137 274 411 719 822 959 1438 1918 2157 2877 4314 5033 5754 10066 15099 30198 98503 197006 295509 591018 689521 1379042 2068563 4137126