Search a number
-
+
106795949 = 1337222029
BaseRepresentation
bin1100101110110…
…01001110101101
321102221210111112
412113121032231
5204314432244
614333001405
72434515311
oct627311655
9242853445
10106795949
1155313417
122b923265
1319182b90
141027db41
15959839e
hex65d93ad

106795949 has 8 divisors (see below), whose sum is σ = 118119960. Its totient is φ = 95916096.

The previous prime is 106795943. The next prime is 106795957. The reversal of 106795949 is 949597601.

It can be written as a sum of positive squares in 4 ways, for example, as 1876900 + 104919049 = 1370^2 + 10243^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106795949 is a prime.

It is a super-2 number, since 2×1067959492 = 22810749445621202, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106795897 and 106795906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106795943) 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, 110534 + ... + 111495.

It is an arithmetic number, because the mean of its divisors is an integer number (14764995).

Almost surely, 2106795949 is an apocalyptic number.

It is an amenable number.

106795949 is a deficient number, since it is larger than the sum of its proper divisors (11324011).

106795949 is a wasteful number, since it uses less digits than its factorization.

106795949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222079.

The product of its (nonzero) digits is 612360, while the sum is 50.

The square root of 106795949 is about 10334.2125486173. The cubic root of 106795949 is about 474.4439646865.

The spelling of 106795949 in words is "one hundred six million, seven hundred ninety-five thousand, nine hundred forty-nine".

Divisors: 1 13 37 481 222029 2886377 8215073 106795949