Search a number
-
+
126422361 = 32133533061
BaseRepresentation
bin1111000100100…
…00110101011001
322210212220212200
413202100311121
5224331003421
620313400413
73063400212
oct742206531
9283786780
10126422361
11653a8a9a
1236409109
1320265240
1412b0c409
15b173726
hex7890d59

126422361 has 24 divisors (see below), whose sum is σ = 197278536. Its totient is φ = 77552640.

The previous prime is 126422341. The next prime is 126422381. The reversal of 126422361 is 163224621.

126422361 is a `hidden beast` number, since 12 + 642 + 2 + 3 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (126422341) and next prime (126422381).

It can be written as a sum of positive squares in 4 ways, for example, as 22382361 + 104040000 = 4731^2 + 10200^2 .

It is not a de Polignac number, because 126422361 - 26 = 126422297 is a prime.

It is a super-2 number, since 2×1264223612 = 31965226721628642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126422341) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39771 + ... + 42831.

It is an arithmetic number, because the mean of its divisors is an integer number (8219939).

Almost surely, 2126422361 is an apocalyptic number.

It is an amenable number.

126422361 is a deficient number, since it is larger than the sum of its proper divisors (70856175).

126422361 is a wasteful number, since it uses less digits than its factorization.

126422361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3430 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 126422361 is about 11243.7698749130. The cubic root of 126422361 is about 501.8893331814.

Adding to 126422361 its reverse (163224621), we get a palindrome (289646982).

The spelling of 126422361 in words is "one hundred twenty-six million, four hundred twenty-two thousand, three hundred sixty-one".

Divisors: 1 3 9 13 39 117 353 1059 3061 3177 4589 9183 13767 27549 39793 41301 119379 358137 1080533 3241599 9724797 14046929 42140787 126422361