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102890641 = 722099809
BaseRepresentation
bin1100010000111…
…11110010010001
321011121101102111
412020133302101
5202320000031
614113145321
72356361500
oct610376221
9234541374
10102890641
1153096297
122a55b241
1318416449
14d944837
1590761b1
hex621fc91

102890641 has 6 divisors (see below), whose sum is σ = 119689170. Its totient is φ = 88191936.

The previous prime is 102890633. The next prime is 102890657. The reversal of 102890641 is 146098201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 56310016 + 46580625 = 7504^2 + 6825^2 .

It is not a de Polignac number, because 102890641 - 23 = 102890633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102890611) 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 5 ways as a sum of consecutive naturals, for example, 1049856 + ... + 1049953.

It is an arithmetic number, because the mean of its divisors is an integer number (19948195).

Almost surely, 2102890641 is an apocalyptic number.

It is an amenable number.

102890641 is a deficient number, since it is larger than the sum of its proper divisors (16798529).

102890641 is an equidigital number, since it uses as much as digits as its factorization.

102890641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099823 (or 2099816 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 102890641 is about 10143.5024030164. The cubic root of 102890641 is about 468.5888577720.

The spelling of 102890641 in words is "one hundred two million, eight hundred ninety thousand, six hundred forty-one".

Divisors: 1 7 49 2099809 14698663 102890641