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20135500 = 2253711523
BaseRepresentation
bin100110011001…
…1111001001100
31101212222201021
41030303321030
520123314000
61555323524
7333102040
oct114637114
941788637
1020135500
1110403110
1268b05a4
13422ccc8
142962020
151b7b11a
hex1333e4c

20135500 has 96 divisors (see below), whose sum is σ = 54931968. Its totient is φ = 6264000.

The previous prime is 20135447. The next prime is 20135501. The reversal of 20135500 is 553102.

It is not an unprimeable number, because it can be changed into a prime (20135501) 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 31 ways as a sum of consecutive naturals, for example, 38239 + ... + 38761.

It is an arithmetic number, because the mean of its divisors is an integer number (572208).

Almost surely, 220135500 is an apocalyptic number.

20135500 is a gapful number since it is divisible by the number (20) 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 20135500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27465984).

20135500 is an abundant number, since it is smaller than the sum of its proper divisors (34796468).

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

20135500 is a wasteful number, since it uses less digits than its factorization.

20135500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 20135500 is about 4487.2597428720. The cubic root of 20135500 is about 272.0533884533.

Adding to 20135500 its reverse (553102), we get a palindrome (20688602).

The spelling of 20135500 in words is "twenty million, one hundred thirty-five thousand, five hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 125 140 154 175 220 250 275 308 350 385 500 523 550 700 770 875 1046 1100 1375 1540 1750 1925 2092 2615 2750 3500 3661 3850 5230 5500 5753 7322 7700 9625 10460 11506 13075 14644 18305 19250 23012 26150 28765 36610 38500 40271 52300 57530 65375 73220 80542 91525 115060 130750 143825 161084 183050 201355 261500 287650 366100 402710 457625 575300 719125 805420 915250 1006775 1438250 1830500 2013550 2876500 4027100 5033875 10067750 20135500