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102416845 = 522938933
BaseRepresentation
bin1100001101011…
…00000111001101
321010201022111111
412012230013031
5202204314340
614055052021
72352346246
oct606540715
9233638444
10102416845
11528a2323
122a371011
13182ab8ab
14d85dccd
158ed0aea
hex61ac1cd

102416845 has 8 divisors (see below), whose sum is σ = 122967576. Its totient is φ = 81888576.

The previous prime is 102416833. The next prime is 102416849. The reversal of 102416845 is 548614201.

It can be written as a sum of positive squares in 4 ways, for example, as 749956 + 101666889 = 866^2 + 10083^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102416845 - 211 = 102414797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102416849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6999 + ... + 15931.

It is an arithmetic number, because the mean of its divisors is an integer number (15370947).

Almost surely, 2102416845 is an apocalyptic number.

It is an amenable number.

102416845 is a deficient number, since it is larger than the sum of its proper divisors (20550731).

102416845 is an equidigital number, since it uses as much as digits as its factorization.

102416845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11231.

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 102416845 is about 10120.1207996743. The cubic root of 102416845 is about 467.8684903944.

The spelling of 102416845 in words is "one hundred two million, four hundred sixteen thousand, eight hundred forty-five".

Divisors: 1 5 2293 8933 11465 44665 20483369 102416845