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9144090 = 23555371
BaseRepresentation
bin100010111000…
…011100011010
3122012120100000
4202320130122
54320102330
6523553430
7140503104
oct42703432
918176300
109144090
1151860aa
12308b876
131b82107
141300574
15c09560
hex8b871a

9144090 has 96 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 2358720.

The previous prime is 9144067. The next prime is 9144131. The reversal of 9144090 is 904419.

It is a super-2 number, since 2×91440902 = 167228763856200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 128755 + ... + 128825.

It is an arithmetic number, because the mean of its divisors is an integer number (265356).

Almost surely, 29144090 is an apocalyptic number.

9144090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9144090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

9144090 is an abundant number, since it is smaller than the sum of its proper divisors (16330086).

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

9144090 is a wasteful number, since it uses less digits than its factorization.

9144090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9144090 is about 3023.9196417894. The cubic root of 9144090 is about 209.1125817599.

The spelling of 9144090 in words is "nine million, one hundred forty-four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 71 81 90 106 135 142 159 162 213 243 265 270 318 355 405 426 477 486 530 639 710 795 810 954 1065 1215 1278 1431 1590 1917 2130 2385 2430 2862 3195 3763 3834 4293 4770 5751 6390 7155 7526 8586 9585 11289 11502 12879 14310 17253 18815 19170 21465 22578 25758 28755 33867 34506 37630 42930 56445 57510 64395 67734 86265 101601 112890 128790 169335 172530 203202 304803 338670 508005 609606 914409 1016010 1524015 1828818 3048030 4572045 9144090