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126010256 = 2417538741
BaseRepresentation
bin1111000001011…
…00001110010000
322210002222120112
413200230032100
5224224312011
620300500452
73060032561
oct740541620
9283088515
10126010256
1165147409
123624a728
132014c7a8
1412a42168
15b0e158b
hex782c390

126010256 has 40 divisors (see below), whose sum is σ = 263413944. Its totient is φ = 58173440.

The previous prime is 126010231. The next prime is 126010267. The reversal of 126010256 is 652010621.

It can be written as a sum of positive squares in 4 ways, for example, as 27206656 + 98803600 = 5216^2 + 9940^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10046 + ... + 18786.

Almost surely, 2126010256 is an apocalyptic number.

126010256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126010256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131706972).

126010256 is an abundant number, since it is smaller than the sum of its proper divisors (137403688).

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

126010256 is a wasteful number, since it uses less digits than its factorization.

126010256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8819 (or 8813 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 126010256 is about 11225.4289895754. The cubic root of 126010256 is about 501.3433953453.

Adding to 126010256 its reverse (652010621), we get a palindrome (778020877).

The spelling of 126010256 in words is "one hundred twenty-six million, ten thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 848 901 1802 3604 7208 8741 14416 17482 34964 69928 139856 148597 297194 463273 594388 926546 1188776 1853092 2377552 3706184 7412368 7875641 15751282 31502564 63005128 126010256