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18605000 = 2354612
BaseRepresentation
bin100011011111…
…0001111001000
31022000020021002
41012332033020
514230330000
61502434132
7314065661
oct106761710
938006232
1018605000
11a558237
126292948
133b1549b
142684368
1519778d5
hex11be3c8

18605000 has 60 divisors (see below), whose sum is σ = 44317845. Its totient is φ = 7320000.

The previous prime is 18604981. The next prime is 18605003. The reversal of 18605000 is 50681.

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 8 ways, for example, as 11195716 + 7409284 = 3346^2 + 2722^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3050.

It is a super-2 number, since 2×186050002 = 692292050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (18605003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 304970 + ... + 305030.

Almost surely, 218605000 is an apocalyptic number.

18605000 is a gapful number since it is divisible by the number (10) 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 18605000

18605000 is an abundant number, since it is smaller than the sum of its proper divisors (25712845).

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

18605000 is an frugal number, since it uses more digits than its factorization.

18605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 18605000 is about 4313.3513652379. The cubic root of 18605000 is about 264.9780449356.

Adding to 18605000 its reverse (50681), we get a palindrome (18655681).

It can be divided in two parts, 18 and 605000, that multiplied together give a square (10890000 = 33002).

The spelling of 18605000 in words is "eighteen million, six hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 625 1000 1220 1250 1525 2440 2500 3050 3721 5000 6100 7442 7625 12200 14884 15250 18605 29768 30500 37210 38125 61000 74420 76250 93025 148840 152500 186050 305000 372100 465125 744200 930250 1860500 2325625 3721000 4651250 9302500 18605000