Search a number
-
+
106793993 = 539720773
BaseRepresentation
bin1100101110110…
…00110000001001
321102221200211002
412113120300021
5204314401433
614332544345
72434506515
oct627306011
9242850732
10106793993
11553119a9
122b9220b5
1319182017
141027d145
1595979e8
hex65d8c09

106793993 has 8 divisors (see below), whose sum is σ = 109936008. Its totient is φ = 103693824.

The previous prime is 106793989. The next prime is 106794007. The reversal of 106793993 is 399397601.

It can be written as a sum of positive squares in 4 ways, for example, as 49519369 + 57274624 = 7037^2 + 7568^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106793993 - 22 = 106793989 is a prime.

It is a super-2 number, since 2×1067939932 = 22809913881768098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106793923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5246 + ... + 15527.

It is an arithmetic number, because the mean of its divisors is an integer number (13742001).

Almost surely, 2106793993 is an apocalyptic number.

It is an amenable number.

106793993 is a deficient number, since it is larger than the sum of its proper divisors (3142015).

106793993 is an equidigital number, since it uses as much as digits as its factorization.

106793993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20923.

The product of its (nonzero) digits is 275562, while the sum is 47.

The square root of 106793993 is about 10334.1179110749. The cubic root of 106793993 is about 474.4410681407.

The spelling of 106793993 in words is "one hundred six million, seven hundred ninety-three thousand, nine hundred ninety-three".

Divisors: 1 53 97 5141 20773 1100969 2014981 106793993