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9130905 = 3257241101
BaseRepresentation
bin100010110101…
…001110011001
3122011220020200
4202311032121
54314142110
6523412413
7140416500
oct42651631
918156220
109130905
115177203
123084109
131b79104
1412d9837
15c056c0
hex8b5399

9130905 has 72 divisors (see below), whose sum is σ = 19046664. Its totient is φ = 4032000.

The previous prime is 9130903. The next prime is 9130937. The reversal of 9130905 is 5090319.

9130905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 974169 + 8156736 = 987^2 + 2856^2 .

It is not a de Polignac number, because 9130905 - 21 = 9130903 is a prime.

It is a super-2 number, since 2×91309052 = 166746852238050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9130903) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90355 + ... + 90455.

It is an arithmetic number, because the mean of its divisors is an integer number (264537).

Almost surely, 29130905 is an apocalyptic number.

It is an amenable number.

9130905 is an abundant number, since it is smaller than the sum of its proper divisors (9915759).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9130905 is a wasteful number, since it uses less digits than its factorization.

9130905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 9130905 is about 3021.7387378792. The cubic root of 9130905 is about 209.0120258947.

The spelling of 9130905 in words is "nine million, one hundred thirty thousand, nine hundred five".

Divisors: 1 3 5 7 9 15 21 35 41 45 49 63 101 105 123 147 205 245 287 303 315 369 441 505 615 707 735 861 909 1435 1515 1845 2009 2121 2205 2583 3535 4141 4305 4545 4949 6027 6363 10045 10605 12423 12915 14847 18081 20705 24745 28987 30135 31815 37269 44541 62115 74235 86961 90405 144935 186345 202909 222705 260883 434805 608727 1014545 1304415 1826181 3043635 9130905