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10948133 = 747107311
BaseRepresentation
bin101001110000…
…111000100101
3202121020000102
4221300320211
510300320013
61030353445
7162025520
oct51607045
922536012
1010948133
1161a8549
1237bb885
1323642b1
14164dbb7
15e63d58
hexa70e25

10948133 has 16 divisors (see below), whose sum is σ = 12939264. Its totient is φ = 9069360.

The previous prime is 10948121. The next prime is 10948139. The reversal of 10948133 is 33184901.

It is a cyclic number.

It is not a de Polignac number, because 10948133 - 24 = 10948117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10948096 and 10948105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10948139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35048 + ... + 35358.

It is an arithmetic number, because the mean of its divisors is an integer number (808704).

Almost surely, 210948133 is an apocalyptic number.

It is an amenable number.

10948133 is a deficient number, since it is larger than the sum of its proper divisors (1991131).

10948133 is a wasteful number, since it uses less digits than its factorization.

10948133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 10948133 is about 3308.7963068161. The cubic root of 10948133 is about 222.0479092013.

The spelling of 10948133 in words is "ten million, nine hundred forty-eight thousand, one hundred thirty-three".

Divisors: 1 7 47 107 311 329 749 2177 5029 14617 33277 35203 102319 232939 1564019 10948133