Search a number
-
+
126298728 = 23322696521
BaseRepresentation
bin1111000011100…
…10101001101000
322210122122021200
413201302221220
5224313024403
620311004200
73062343603
oct741625150
9283578250
10126298728
1165324116
1236369660
1320220b9a
1412ab933a
15b14bca3
hex7872a68

126298728 has 48 divisors (see below), whose sum is σ = 343383300. Its totient is φ = 41936640.

The previous prime is 126298717. The next prime is 126298759. The reversal of 126298728 is 827892621.

126298728 is a `hidden beast` number, since 12 + 629 + 8 + 7 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126292644 + 6084 = 11238^2 + 78^2 .

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 11 ways as a sum of consecutive naturals, for example, 16108 + ... + 22628.

Almost surely, 2126298728 is an apocalyptic number.

126298728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126298728 is an abundant number, since it is smaller than the sum of its proper divisors (217084572).

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

126298728 is a wasteful number, since it uses less digits than its factorization.

126298728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802 (or 6795 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 126298728 is about 11238.2706854747. The cubic root of 126298728 is about 501.7256745759.

The spelling of 126298728 in words is "one hundred twenty-six million, two hundred ninety-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 269 538 807 1076 1614 2152 2421 3228 4842 6456 6521 9684 13042 19368 19563 26084 39126 52168 58689 78252 117378 156504 234756 469512 1754149 3508298 5262447 7016596 10524894 14033192 15787341 21049788 31574682 42099576 63149364 126298728