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10108007 = 713277401
BaseRepresentation
bin100110100011…
…110001100111
3201000112120122
4212203301213
510041424012
61000352155
7151626260
oct46436147
921015518
1010108007
115784328
12347565b
13212ba90
1414b1967
15d49e72
hex9a3c67

10108007 has 16 divisors (see below), whose sum is σ = 12516672. Its totient is φ = 7948800.

The previous prime is 10108003. The next prime is 10108061. The reversal of 10108007 is 70080101.

10108007 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10108007 - 22 = 10108003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10108003) 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 15 ways as a sum of consecutive naturals, for example, 25007 + ... + 25407.

It is an arithmetic number, because the mean of its divisors is an integer number (782292).

Almost surely, 210108007 is an apocalyptic number.

10108007 is a deficient number, since it is larger than the sum of its proper divisors (2408665).

10108007 is a wasteful number, since it uses less digits than its factorization.

10108007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 10108007 is about 3179.3092016978. The cubic root of 10108007 is about 216.2163398889.

Adding to 10108007 its reverse (70080101), we get a palindrome (80188108).

It can be divided in two parts, 1010800 and 7, that multiplied together give a square (7075600 = 26602).

The spelling of 10108007 in words is "ten million, one hundred eight thousand, seven".

Divisors: 1 7 13 91 277 401 1939 2807 3601 5213 25207 36491 111077 777539 1444001 10108007