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135500989 = 1321922221
BaseRepresentation
bin10000001001110…
…01010010111101
3100102222011102011
420010321102331
5234142012424
621240131221
73233511421
oct1004712275
9312864364
10135500989
116a539998
1239466b11
13220c3600
1413dd2b81
15bd68694
hex81394bd

135500989 has 18 divisors (see below), whose sum is σ = 154924506. Its totient is φ = 118441440.

The previous prime is 135500927. The next prime is 135501007. The reversal of 135500989 is 989005531.

It can be written as a sum of positive squares in 3 ways, for example, as 1172889 + 134328100 = 1083^2 + 11590^2 .

It is a de Polignac number, because none of the positive numbers 2k-135500989 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 (135500909) 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 17 ways as a sum of consecutive naturals, for example, 59899 + ... + 62119.

It is an arithmetic number, because the mean of its divisors is an integer number (8606917).

Almost surely, 2135500989 is an apocalyptic number.

135500989 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

135500989 is a deficient number, since it is larger than the sum of its proper divisors (19423517).

135500989 is a wasteful number, since it uses less digits than its factorization.

135500989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 40.

The square root of 135500989 is about 11640.4892079328. The cubic root of 135500989 is about 513.6265777796.

The spelling of 135500989 in words is "one hundred thirty-five million, five hundred thousand, nine hundred eighty-nine".

Divisors: 1 13 19 169 247 361 2221 3211 4693 28873 42199 61009 375349 548587 801781 7131631 10423153 135500989