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10078937 = 112312687
BaseRepresentation
bin100110011100…
…101011011001
3200222001200222
4212130223121
510040011222
61000005425
7151445441
oct46345331
920861628
1010078937
115764500
123460875
13211b78b
1414a5121
15d41542
hex99cad9

10078937 has 12 divisors (see below), whose sum is σ = 11440128. Its totient is φ = 8863800.

The previous prime is 10078933. The next prime is 10078967. The reversal of 10078937 is 73987001.

It is not a de Polignac number, because 10078937 - 22 = 10078933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10078897 and 10078906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10078933) 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, 2408 + ... + 5094.

It is an arithmetic number, because the mean of its divisors is an integer number (953344).

Almost surely, 210078937 is an apocalyptic number.

It is an amenable number.

10078937 is a deficient number, since it is larger than the sum of its proper divisors (1361191).

10078937 is a wasteful number, since it uses less digits than its factorization.

10078937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 10078937 is about 3174.7341620992. The cubic root of 10078937 is about 216.0088659484.

The spelling of 10078937 in words is "ten million, seventy-eight thousand, nine hundred thirty-seven".

Divisors: 1 11 31 121 341 2687 3751 29557 83297 325127 916267 10078937