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19905500 = 225341971
BaseRepresentation
bin100101111101…
…1101111011100
31101110022012202
41023323233130
520043434000
61550351032
7331123346
oct113735734
941408182
1019905500
111026632a
1267bb478
13417c404
142902296
151b32dd5
hex12fbbdc

19905500 has 48 divisors (see below), whose sum is σ = 44579808. Its totient is φ = 7760000.

The previous prime is 19905493. The next prime is 19905527. The reversal of 19905500 is 550991.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20015 + ... + 20985.

It is an arithmetic number, because the mean of its divisors is an integer number (928746).

Almost surely, 219905500 is an apocalyptic number.

19905500 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 19905500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22289904).

19905500 is an abundant number, since it is smaller than the sum of its proper divisors (24674308).

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

19905500 is a wasteful number, since it uses less digits than its factorization.

19905500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 29.

The square root of 19905500 is about 4461.5580238298. The cubic root of 19905500 is about 271.0135657665.

The spelling of 19905500 in words is "nineteen million, nine hundred five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 820 971 1025 1942 2050 3884 4100 4855 5125 9710 10250 19420 20500 24275 39811 48550 79622 97100 121375 159244 199055 242750 398110 485500 796220 995275 1990550 3981100 4976375 9952750 19905500