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126056256 = 2634761229
BaseRepresentation
bin1111000001101…
…11011101000000
322210012022200020
413200313131000
5224232300011
620301453440
73060313644
oct740673500
9283168606
10126056256
1165178a27
1236271280
1320167701
1412a54c24
15b100006
hex7837740

126056256 has 112 divisors (see below), whose sum is σ = 347715840. Its totient is φ = 40273920.

The previous prime is 126056251. The next prime is 126056257. The reversal of 126056256 is 652650621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126056251) 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, 550350 + ... + 550578.

Almost surely, 2126056256 is an apocalyptic number.

126056256 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 126056256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173857920).

126056256 is an abundant number, since it is smaller than the sum of its proper divisors (221659584).

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

126056256 is a wasteful number, since it uses less digits than its factorization.

126056256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 126056256 is about 11227.4777220888. The cubic root of 126056256 is about 501.4043930007.

The spelling of 126056256 in words is "one hundred twenty-six million, fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 61 64 94 96 122 141 183 188 192 229 244 282 366 376 458 488 564 687 732 752 916 976 1128 1374 1464 1504 1832 1952 2256 2748 2867 2928 3008 3664 3904 4512 5496 5734 5856 7328 8601 9024 10763 10992 11468 11712 13969 14656 17202 21526 21984 22936 27938 32289 34404 41907 43052 43968 45872 55876 64578 68808 83814 86104 91744 111752 129156 137616 167628 172208 183488 223504 258312 275232 335256 344416 447008 516624 550464 656543 670512 688832 894016 1033248 1313086 1341024 1969629 2066496 2626172 2682048 3939258 5252344 7878516 10504688 15757032 21009376 31514064 42018752 63028128 126056256