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9740137 = 112101797
BaseRepresentation
bin100101001001…
…111101101001
3200022211221211
4211021331221
54443141022
6544433121
7145534621
oct45117551
920284854
109740137
115552a00
1233187a1
1320304c4
141417881
15cc5e77
hex949f69

9740137 has 12 divisors (see below), whose sum is σ = 10825668. Its totient is φ = 8756000.

The previous prime is 9740117. The next prime is 9740161. The reversal of 9740137 is 7310479.

It can be written as a sum of positive squares in 2 ways, for example, as 7502121 + 2238016 = 2739^2 + 1496^2 .

It is not a de Polignac number, because 9740137 - 27 = 9740009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9740099 and 9740108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9740117) 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 11 ways as a sum of consecutive naturals, for example, 11823 + ... + 12619.

It is an arithmetic number, because the mean of its divisors is an integer number (902139).

Almost surely, 29740137 is an apocalyptic number.

It is an amenable number.

9740137 is a deficient number, since it is larger than the sum of its proper divisors (1085531).

9740137 is a wasteful number, since it uses less digits than its factorization.

9740137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 9740137 is about 3120.9192556040. The cubic root of 9740137 is about 213.5608734858.

The spelling of 9740137 in words is "nine million, seven hundred forty thousand, one hundred thirty-seven".

Divisors: 1 11 101 121 797 1111 8767 12221 80497 96437 885467 9740137