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126266064 = 2434797577
BaseRepresentation
bin1111000011010…
…10101011010000
322210120222110220
413201222223100
5224311003224
620310153040
73062146431
oct741525320
9283528426
10126266064
1165301621
1236352780
132020c062
1412aab488
15b142279
hex786aad0

126266064 has 80 divisors (see below), whose sum is σ = 337145088. Its totient is φ = 40697856.

The previous prime is 126266057. The next prime is 126266083. The reversal of 126266064 is 460662621.

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 15 ways as a sum of consecutive naturals, for example, 218544 + ... + 219120.

Almost surely, 2126266064 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 126266064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168572544).

126266064 is an abundant number, since it is smaller than the sum of its proper divisors (210879024).

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

126266064 is a wasteful number, since it uses less digits than its factorization.

126266064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 126266064 is about 11236.8173430024. The cubic root of 126266064 is about 501.6824179237.

The spelling of 126266064 in words is "one hundred twenty-six million, two hundred sixty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 97 141 188 194 282 291 376 388 564 577 582 752 776 1128 1154 1164 1552 1731 2256 2308 2328 3462 4559 4616 4656 6924 9118 9232 13677 13848 18236 27119 27354 27696 36472 54238 54708 55969 72944 81357 108476 109416 111938 162714 167907 216952 218832 223876 325428 335814 433904 447752 650856 671628 895504 1301712 1343256 2630543 2686512 5261086 7891629 10522172 15783258 21044344 31566516 42088688 63133032 126266064