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20005398 = 2327179887
BaseRepresentation
bin100110001010…
…0001000010110
31101122101020200
41030110020112
520110133043
61552441330
7332020530
oct114241026
941571220
1020005398
1110324396
126849246
1341b5a1a
14292a850
151b527d3
hex1314216

20005398 has 48 divisors (see below), whose sum is σ = 49870080. Its totient is φ = 5677488.

The previous prime is 20005397. The next prime is 20005429. The reversal of 20005398 is 89350002.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20005393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22111 + ... + 22997.

It is an arithmetic number, because the mean of its divisors is an integer number (1038960).

Almost surely, 220005398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20005398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935040).

20005398 is an abundant number, since it is smaller than the sum of its proper divisors (29864682).

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

20005398 is a wasteful number, since it uses less digits than its factorization.

20005398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20005398 is about 4472.7394290300. The cubic root of 20005398 is about 271.4661801733.

The spelling of 20005398 in words is "twenty million, five thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 179 358 537 887 1074 1253 1611 1774 2506 2661 3222 3759 5322 6209 7518 7983 11277 12418 15966 18627 22554 37254 55881 111762 158773 317546 476319 952638 1111411 1428957 2222822 2857914 3334233 6668466 10002699 20005398