Search a number
-
+
10542761 is a prime number
BaseRepresentation
bin101000001101…
…111010101001
3201211121221122
4220031322221
510144332021
61013545025
7155416625
oct50157251
921747848
1010542761
115a50a29
123645175
132251928
141586185
15dd3bab
hexa0dea9

10542761 has 2 divisors, whose sum is σ = 10542762. Its totient is φ = 10542760.

The previous prime is 10542751. The next prime is 10542773. The reversal of 10542761 is 16724501.

10542761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9803161 + 739600 = 3131^2 + 860^2 .

It is an emirp because it is prime and its reverse (16724501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10542761 - 210 = 10541737 is a prime.

It is a super-2 number, since 2×105427612 = 222299619006242, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10542761.

It is not a weakly prime, because it can be changed into another prime (10542751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5271380 + 5271381.

It is an arithmetic number, because the mean of its divisors is an integer number (5271381).

Almost surely, 210542761 is an apocalyptic number.

It is an amenable number.

10542761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10542761 is an equidigital number, since it uses as much as digits as its factorization.

10542761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 10542761 is about 3246.9618106778. The cubic root of 10542761 is about 219.2728125031.

The spelling of 10542761 in words is "ten million, five hundred forty-two thousand, seven hundred sixty-one".