Search a number
-
+
126684468 = 22323519013
BaseRepresentation
bin1111000110100…
…00110100110100
322211101020102100
413203100310310
5224412400333
620323142100
73065541321
oct743206464
9284336370
10126684468
1165567a09
1236514930
1320327631
1412b79b48
15b1c6213
hex78d0d34

126684468 has 18 divisors (see below), whose sum is σ = 320230274. Its totient is φ = 42228144.

The previous prime is 126684451. The next prime is 126684473. The reversal of 126684468 is 864486621.

126684468 is a `hidden beast` number, since 126 + 68 + 4 + 468 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97653924 + 29030544 = 9882^2 + 5388^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 5 ways as a sum of consecutive naturals, for example, 1759471 + ... + 1759542.

Almost surely, 2126684468 is an apocalyptic number.

126684468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126684468 is an abundant number, since it is smaller than the sum of its proper divisors (193545806).

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

126684468 is a wasteful number, since it uses less digits than its factorization.

126684468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519023 (or 3519018 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 126684468 is about 11255.4194946257. The cubic root of 126684468 is about 502.2359435417.

The spelling of 126684468 in words is "one hundred twenty-six million, six hundred eighty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3519013 7038026 10557039 14076052 21114078 31671117 42228156 63342234 126684468