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20265100 = 22521911061
BaseRepresentation
bin100110101001…
…1100010001100
31102010120111021
41031103202030
520141440400
62002203524
7334151632
oct115234214
942116437
1020265100
1110491519
1269535a4
134276cab
142997352
151ba471a
hex135388c

20265100 has 36 divisors (see below), whose sum is σ = 44247168. Its totient is φ = 8056000.

The previous prime is 20265067. The next prime is 20265121. The reversal of 20265100 is 156202.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 18570 + ... + 19630.

It is an arithmetic number, because the mean of its divisors is an integer number (1229088).

Almost surely, 220265100 is an apocalyptic number.

20265100 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 20265100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22123584).

20265100 is an abundant number, since it is smaller than the sum of its proper divisors (23982068).

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

20265100 is a wasteful number, since it uses less digits than its factorization.

20265100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 20265100 is about 4501.6774651234. The cubic root of 20265100 is about 272.6358215265.

The spelling of 20265100 in words is "twenty million, two hundred sixty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1061 1910 2122 3820 4244 4775 5305 9550 10610 19100 21220 26525 53050 106100 202651 405302 810604 1013255 2026510 4053020 5066275 10132550 20265100