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126263928 = 23372341797
BaseRepresentation
bin1111000011010…
…10001001111000
322210120212112210
413201222021320
5224310421203
620310135120
73062140260
oct741521170
9283525483
10126263928
11652aaa5a
12363514a0
132020b0ab
1412aaa7a0
15b141803
hex786a278

126263928 has 128 divisors (see below), whose sum is σ = 386104320. Its totient is φ = 33623040.

The previous prime is 126263909. The next prime is 126263989. The reversal of 126263928 is 829362621.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158026 + ... + 158822.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2126263928 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 126263928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

126263928 is an abundant number, since it is smaller than the sum of its proper divisors (259840392).

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

126263928 is a wasteful number, since it uses less digits than its factorization.

126263928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 873 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 126263928 is about 11236.7222978945. The cubic root of 126263928 is about 501.6795889775.

The spelling of 126263928 in words is "one hundred twenty-six million, two hundred sixty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 41 42 46 56 69 82 84 92 123 138 161 164 168 184 246 276 287 322 328 483 492 552 574 644 797 861 943 966 984 1148 1288 1594 1722 1886 1932 2296 2391 2829 3188 3444 3772 3864 4782 5579 5658 6376 6601 6888 7544 9564 11158 11316 13202 16737 18331 19128 19803 22316 22632 26404 32677 33474 36662 39606 44632 52808 54993 65354 66948 73324 79212 98031 109986 128317 130708 133896 146648 158424 196062 219972 228739 256634 261416 384951 392124 439944 457478 513268 686217 751571 769902 784248 914956 1026536 1372434 1503142 1539804 1829912 2254713 2744868 3006284 3079608 4509426 5260997 5489736 6012568 9018852 10521994 15782991 18037704 21043988 31565982 42087976 63131964 126263928