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126730112 = 275997173
BaseRepresentation
bin1111000110110…
…11111110000000
322211110120000212
413203123332000
5224420330422
620324133252
73066121355
oct743337600
9284416025
10126730112
1165599233
1236537228
1320342342
1412b8c62c
15b1d49e2
hex78dbf80

126730112 has 64 divisors (see below), whose sum is σ = 260895600. Its totient is φ = 61292544.

The previous prime is 126730103. The next prime is 126730129. The reversal of 126730112 is 211037621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 732458 + ... + 732630.

Almost surely, 2126730112 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 126730112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130447800).

126730112 is an abundant number, since it is smaller than the sum of its proper divisors (134165488).

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

126730112 is an equidigital number, since it uses as much as digits as its factorization.

126730112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 126730112 is about 11257.4469574589. The cubic root of 126730112 is about 502.2962542889.

Adding to 126730112 its reverse (211037621), we get a palindrome (337767733).

The spelling of 126730112 in words is "one hundred twenty-six million, seven hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 59 64 97 118 128 173 194 236 346 388 472 692 776 944 1384 1552 1888 2768 3104 3776 5536 5723 6208 7552 10207 11072 11446 12416 16781 20414 22144 22892 33562 40828 45784 67124 81656 91568 134248 163312 183136 268496 326624 366272 536992 653248 732544 990079 1073984 1306496 1980158 2147968 3960316 7920632 15841264 31682528 63365056 126730112