Search a number
-
+
112447993 = 722979133
BaseRepresentation
bin1101011001111…
…01000111111001
321211120221122111
412230331013321
5212241313433
615054052321
72533535500
oct654750771
9254527574
10112447993
1158523929
12317aa0a1
131a3b1698
1410d11837
159d12dcd
hex6b3d1f9

112447993 has 12 divisors (see below), whose sum is σ = 135319140. Its totient is φ = 93059232.

The previous prime is 112447991. The next prime is 112447999. The reversal of 112447993 is 399744211.

It can be written as a sum of positive squares in 2 ways, for example, as 83320384 + 29127609 = 9128^2 + 5397^2 .

It is not a de Polignac number, because 112447993 - 21 = 112447991 is a prime.

It is a super-2 number, since 2×1124479932 = 25289102259456098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112447991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38146 + ... + 40987.

It is an arithmetic number, because the mean of its divisors is an integer number (11276595).

Almost surely, 2112447993 is an apocalyptic number.

It is an amenable number.

112447993 is a deficient number, since it is larger than the sum of its proper divisors (22871147).

112447993 is an equidigital number, since it uses as much as digits as its factorization.

112447993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79176 (or 79169 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The square root of 112447993 is about 10604.1498009034. The cubic root of 112447993 is about 482.6702923830.

The spelling of 112447993 in words is "one hundred twelve million, four hundred forty-seven thousand, nine hundred ninety-three".

Divisors: 1 7 29 49 203 1421 79133 553931 2294857 3877517 16063999 112447993