Search a number
-
+
126136224 = 2533145991
BaseRepresentation
bin1111000010010…
…10111110100000
322210100101101000
413201022332200
5224242324344
620303312000
73061066044
oct741127640
9283311330
10126136224
1165223015
12362ab600
1320194c26
1412a76024
15b118a69
hex784afa0

126136224 has 48 divisors (see below), whose sum is σ = 367899840. Its totient is φ = 42045120.

The previous prime is 126136211. The next prime is 126136247. The reversal of 126136224 is 422631621.

126136224 is a `hidden beast` number, since 1 + 26 + 13 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 72132 + ... + 73859.

It is an arithmetic number, because the mean of its divisors is an integer number (7664580).

Almost surely, 2126136224 is an apocalyptic number.

It is an amenable number.

126136224 is an abundant number, since it is smaller than the sum of its proper divisors (241763616).

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

126136224 is a wasteful number, since it uses less digits than its factorization.

126136224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146010 (or 145996 counting only the distinct ones).

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

The square root of 126136224 is about 11231.0384203777. The cubic root of 126136224 is about 501.5103981341.

Adding to 126136224 its reverse (422631621), we get a palindrome (548767845).

The spelling of 126136224 in words is "one hundred twenty-six million, one hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 145991 291982 437973 583964 875946 1167928 1313919 1751892 2335856 2627838 3503784 3941757 4671712 5255676 7007568 7883514 10511352 14015136 15767028 21022704 31534056 42045408 63068112 126136224