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9144135 = 32572111329
BaseRepresentation
bin100010111000…
…011101000111
3122012120101200
4202320131013
54320103020
6523553543
7140503200
oct42703507
918176350
109144135
115186140
12308b8b3
131b82140
1413005a7
15c09590
hex8b8747

9144135 has 144 divisors (see below), whose sum is σ = 22407840. Its totient is φ = 3386880.

The previous prime is 9144131. The next prime is 9144167. The reversal of 9144135 is 5314419.

9144135 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9144135 - 22 = 9144131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9144099 and 9144108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9144131) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315301 + ... + 315329.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

Almost surely, 29144135 is an apocalyptic number.

9144135 is an abundant number, since it is smaller than the sum of its proper divisors (13263705).

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

9144135 is a wasteful number, since it uses less digits than its factorization.

9144135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 68 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 9144135 is about 3023.9270824542. The cubic root of 9144135 is about 209.1129247884.

The spelling of 9144135 in words is "nine million, one hundred forty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 11 13 15 21 29 33 35 39 45 49 55 63 65 77 87 91 99 105 117 143 145 147 165 195 203 231 245 261 273 315 319 377 385 429 435 441 455 495 539 585 609 637 693 715 735 819 957 1001 1015 1131 1155 1287 1305 1365 1421 1595 1617 1827 1885 1911 2145 2205 2233 2639 2695 2871 3003 3045 3185 3393 3465 4095 4147 4263 4785 4851 5005 5655 5733 6435 6699 7007 7105 7917 8085 9009 9135 9555 11165 12441 12789 13195 14355 15015 15631 16965 18473 20097 20735 21021 21315 23751 24255 28665 29029 33495 35035 37323 39585 45045 46893 55419 62205 63063 63945 78155 87087 92365 100485 105105 118755 140679 145145 166257 186615 203203 234465 261261 277095 315315 435435 609609 703395 831285 1016015 1306305 1828827 3048045 9144135