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9112500 = 223655
BaseRepresentation
bin100010110000…
…101110110100
3122010222000000
4202300232310
54313100000
6523151300
7140312025
oct42605664
918128000
109112500
1151643a1
123075530
131b70917
1412d2c4c
15c00000
hex8b0bb4

9112500 has 126 divisors (see below), whose sum is σ = 29884806. Its totient is φ = 2430000.

The previous prime is 9112489. The next prime is 9112507. The reversal of 9112500 is 52119.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 4210704 + 4901796 = 2052^2 + 2214^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9112507) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 1822498 + ... + 1822502.

It is an arithmetic number, because the mean of its divisors is an integer number (237181).

Almost surely, 29112500 is an apocalyptic number.

9112500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14942403).

9112500 is an abundant number, since it is smaller than the sum of its proper divisors (20772306).

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

9112500 is an frugal number, since it uses more digits than its factorization.

9112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 9112500 is about 3018.6917696247. The cubic root of 9112500 is about 208.8714975126.

Adding to 9112500 its reverse (52119), we get a palindrome (9164619).

The spelling of 9112500 in words is "nine million, one hundred twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 135 150 162 180 225 243 250 270 300 324 375 405 450 486 500 540 625 675 729 750 810 900 972 1125 1215 1250 1350 1458 1500 1620 1875 2025 2250 2430 2500 2700 2916 3125 3375 3645 3750 4050 4500 4860 5625 6075 6250 6750 7290 7500 8100 9375 10125 11250 12150 12500 13500 14580 16875 18225 18750 20250 22500 24300 28125 30375 33750 36450 37500 40500 50625 56250 60750 67500 72900 84375 91125 101250 112500 121500 151875 168750 182250 202500 253125 303750 337500 364500 455625 506250 607500 759375 911250 1012500 1518750 1822500 2278125 3037500 4556250 9112500