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10768477 is a prime number
BaseRepresentation
bin101001000101…
…000001011101
3202021002120111
4221011001131
510224042402
61022450021
7160346656
oct51050135
922232514
1010768477
116095575
123733911
1323005a5
14160452d
15e2a9d7
hexa4505d

10768477 has 2 divisors, whose sum is σ = 10768478. Its totient is φ = 10768476.

The previous prime is 10768453. The next prime is 10768493. The reversal of 10768477 is 77486701.

10768477 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., 8491396 + 2277081 = 2914^2 + 1509^2 .

It is a cyclic number.

It is not a de Polignac number, because 10768477 - 215 = 10735709 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10768427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5384238 + 5384239.

It is an arithmetic number, because the mean of its divisors is an integer number (5384239).

Almost surely, 210768477 is an apocalyptic number.

It is an amenable number.

10768477 is a deficient number, since it is larger than the sum of its proper divisors (1).

10768477 is an equidigital number, since it uses as much as digits as its factorization.

10768477 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 65856, while the sum is 40.

The square root of 10768477 is about 3281.5357685084. The cubic root of 10768477 is about 220.8266215910.

The spelling of 10768477 in words is "ten million, seven hundred sixty-eight thousand, four hundred seventy-seven".