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126214044 = 223111019467
BaseRepresentation
bin1111000010111…
…01111110011100
322210111100010020
413201131332130
5224302322134
620305112140
73061541655
oct741357634
9283440106
10126214044
1165276530
1236328650
13201c1488
1412a9652c
15b131b49
hex785df9c

126214044 has 48 divisors (see below), whose sum is σ = 324487296. Its totient is φ = 37864000.

The previous prime is 126214019. The next prime is 126214057. The reversal of 126214044 is 440412621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8599 + ... + 18065.

It is an arithmetic number, because the mean of its divisors is an integer number (6760152).

Almost surely, 2126214044 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 126214044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162243648).

126214044 is an abundant number, since it is smaller than the sum of its proper divisors (198273252).

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

126214044 is a wasteful number, since it uses less digits than its factorization.

126214044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9586 (or 9584 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 126214044 is about 11234.5023921845. The cubic root of 126214044 is about 501.6135128848.

Adding to 126214044 its reverse (440412621), we get a palindrome (566626665).

The spelling of 126214044 in words is "one hundred twenty-six million, two hundred fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 9467 13332 18934 28401 37868 56802 104137 113604 208274 312411 416548 624822 956167 1249644 1912334 2868501 3824668 5737002 10517837 11474004 21035674 31553511 42071348 63107022 126214044