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102089285 = 51011131789
BaseRepresentation
bin1100001010111…
…00001001000101
321010002200011122
412011130021011
5202113324120
614044043325
72346513254
oct605341105
9233080148
10102089285
1152699211
122a233545
13181c577c
14d7b679b
158e68a25
hex615c245

102089285 has 16 divisors (see below), whose sum is σ = 124884720. Its totient is φ = 80102400.

The previous prime is 102089269. The next prime is 102089321. The reversal of 102089285 is 582980201.

It can be written as a sum of positive squares in 8 ways, for example, as 2927521 + 99161764 = 1711^2 + 9958^2 .

It is not a de Polignac number, because 102089285 - 24 = 102089269 is a prime.

It is a super-2 number, since 2×1020892852 = 20844444223622450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56171 + ... + 57959.

It is an arithmetic number, because the mean of its divisors is an integer number (7805295).

Almost surely, 2102089285 is an apocalyptic number.

It is an amenable number.

102089285 is a deficient number, since it is larger than the sum of its proper divisors (22795435).

102089285 is a wasteful number, since it uses less digits than its factorization.

102089285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008.

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 102089285 is about 10103.9242376415. The cubic root of 102089285 is about 467.3691627727.

The spelling of 102089285 in words is "one hundred two million, eighty-nine thousand, two hundred eighty-five".

Divisors: 1 5 101 113 505 565 1789 8945 11413 57065 180689 202157 903445 1010785 20417857 102089285