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102457 = 293533
BaseRepresentation
bin11001000000111001
312012112201
4121000321
511234312
62110201
7604465
oct310071
9165481
10102457
116aa83
124b361
1337834
14294a5
1520557
hex19039

102457 has 4 divisors (see below), whose sum is σ = 106020. Its totient is φ = 98896.

The previous prime is 102451. The next prime is 102461. The reversal of 102457 is 754201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 32761 = 264^2 + 181^2 .

It is a cyclic number.

It is not a de Polignac number, because 102457 - 27 = 102329 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1738 + ... + 1795.

It is an arithmetic number, because the mean of its divisors is an integer number (26505).

2102457 is an apocalyptic number.

It is an amenable number.

102457 is a deficient number, since it is larger than the sum of its proper divisors (3563).

102457 is an equidigital number, since it uses as much as digits as its factorization.

102457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562.

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 102457 is about 320.0890501095. The cubic root of 102457 is about 46.7929628789.

Adding to 102457 its reverse (754201), we get a palindrome (856658).

It can be divided in two parts, 1024 and 57, that added together give a triangular number (1081 = T46).

The spelling of 102457 in words is "one hundred two thousand, four hundred fifty-seven".

Divisors: 1 29 3533 102457