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126385064 = 231310911149
BaseRepresentation
bin1111000100001…
…11101110101000
322210211000201022
413202013232220
5224323310224
620312512012
73063153401
oct742075650
9283730638
10126385064
1165382a73
12363ab608
1320251280
1412adc9a8
15b16765e
hex7887ba8

126385064 has 32 divisors (see below), whose sum is σ = 257565000. Its totient is φ = 57791232.

The previous prime is 126385057. The next prime is 126385067. The reversal of 126385064 is 460583621.

It can be written as a sum of positive squares in 4 ways, for example, as 87572164 + 38812900 = 9358^2 + 6230^2 .

It is not an unprimeable number, because it can be changed into a prime (126385067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5762 + ... + 16910.

Almost surely, 2126385064 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 126385064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128782500).

126385064 is an abundant number, since it is smaller than the sum of its proper divisors (131179936).

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

126385064 is a wasteful number, since it uses less digits than its factorization.

126385064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11277 (or 11273 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 126385064 is about 11242.1111896298. Note that the first 4 decimals coincide. The cubic root of 126385064 is about 501.8399726953.

The spelling of 126385064 in words is "one hundred twenty-six million, three hundred eighty-five thousand, sixty-four".

Divisors: 1 2 4 8 13 26 52 104 109 218 436 872 1417 2834 5668 11149 11336 22298 44596 89192 144937 289874 579748 1159496 1215241 2430482 4860964 9721928 15798133 31596266 63192532 126385064