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10937309 is a prime number
BaseRepresentation
bin101001101110…
…001111011101
3202120200011112
4221232033131
510244443214
61030231405
7161652125
oct51561735
922520145
1010937309
1161a03a9
1237b5565
13235c3a6
141649c85
15e60a3e
hexa6e3dd

10937309 has 2 divisors, whose sum is σ = 10937310. Its totient is φ = 10937308.

The previous prime is 10937291. The next prime is 10937317. The reversal of 10937309 is 90373901.

It is a happy number.

10937309 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5508409 + 5428900 = 2347^2 + 2330^2 .

It is a cyclic number.

It is not a de Polignac number, because 10937309 - 220 = 9888733 is a prime.

It is a super-2 number, since 2×109373092 = 239249456322962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10937359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5468654 + 5468655.

It is an arithmetic number, because the mean of its divisors is an integer number (5468655).

Almost surely, 210937309 is an apocalyptic number.

It is an amenable number.

10937309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10937309 is an equidigital number, since it uses as much as digits as its factorization.

10937309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103, while the sum is 32.

The square root of 10937309 is about 3307.1602622189. The cubic root of 10937309 is about 221.9747083164.

The spelling of 10937309 in words is "ten million, nine hundred thirty-seven thousand, three hundred nine".