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90009145 = 541210709
BaseRepresentation
bin1010101110101…
…10111000111001
320021100221100001
411113112320321
5141020243040
612533113001
72142031222
oct527267071
9207327301
1090009145
1146898226
1226188761
1315856165
14bd50249
157d7e59a
hex55d6e39

90009145 has 12 divisors (see below), whose sum is σ = 110719980. Its totient is φ = 70244480.

The previous prime is 90009119. The next prime is 90009167. The reversal of 90009145 is 54190009.

It can be written as a sum of positive squares in 6 ways, for example, as 9960336 + 80048809 = 3156^2 + 8947^2 .

It is a de Polignac number, because none of the positive numbers 2k-90009145 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3051 + ... + 13759.

It is an arithmetic number, because the mean of its divisors is an integer number (9226665).

Almost surely, 290009145 is an apocalyptic number.

It is an amenable number.

90009145 is a deficient number, since it is larger than the sum of its proper divisors (20710835).

90009145 is a wasteful number, since it uses less digits than its factorization.

90009145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10796 (or 10755 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 90009145 is about 9487.3149520821. The cubic root of 90009145 is about 448.1556528255.

It can be divided in two parts, 9000 and 9145, that added together give a triangular number (18145 = T190).

The spelling of 90009145 in words is "ninety million, nine thousand, one hundred forty-five".

Divisors: 1 5 41 205 1681 8405 10709 53545 439069 2195345 18001829 90009145