Search a number
-
+
126865696 = 25171012309
BaseRepresentation
bin1111000111111…
…01000100100000
322211201110000111
413203331010200
5224434200241
620331101104
73100224556
oct743750440
9284643014
10126865696
1165681091
12365a1794
132038bc79
1412bc5bd6
15b20ec81
hex78fd120

126865696 has 48 divisors (see below), whose sum is σ = 267193080. Its totient is φ = 59084800.

The previous prime is 126865681. The next prime is 126865703. The reversal of 126865696 is 696568621.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 120209296 + 6656400 = 10964^2 + 2580^2 .

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 7 ways as a sum of consecutive naturals, for example, 53790 + ... + 56098.

Almost surely, 2126865696 is an apocalyptic number.

126865696 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 126865696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133596540).

126865696 is an abundant number, since it is smaller than the sum of its proper divisors (140327384).

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

126865696 is a wasteful number, since it uses less digits than its factorization.

126865696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2429 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The square root of 126865696 is about 11263.4673169500. The cubic root of 126865696 is about 502.4753200258.

The spelling of 126865696 in words is "one hundred twenty-six million, eight hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 68 101 136 202 272 404 544 808 1616 1717 2309 3232 3434 4618 6868 9236 13736 18472 27472 36944 39253 54944 73888 78506 157012 233209 314024 466418 628048 932836 1256096 1865672 3731344 3964553 7462688 7929106 15858212 31716424 63432848 126865696