Search a number
-
+
20887800 = 23352311123
BaseRepresentation
bin100111110101…
…1100011111000
31110022012200020
41033223203320
520321402200
62023410440
7342354243
oct117534370
943265606
1020887800
111087734a
126bb3a20
13443455b
142aba25a
151c78ea0
hex13eb8f8

20887800 has 96 divisors (see below), whose sum is σ = 66900480. Its totient is φ = 5385600.

The previous prime is 20887799. The next prime is 20887807. The reversal of 20887800 is 878802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20887807) 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, 18039 + ... + 19161.

It is an arithmetic number, because the mean of its divisors is an integer number (696880).

Almost surely, 220887800 is an apocalyptic number.

20887800 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 20887800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33450240).

20887800 is an abundant number, since it is smaller than the sum of its proper divisors (46012680).

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

20887800 is a wasteful number, since it uses less digits than its factorization.

20887800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 20887800 is about 4570.3172756385. The cubic root of 20887800 is about 275.4001887001.

The spelling of 20887800 in words is "twenty million, eight hundred eighty-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1123 1240 1550 1860 2246 2325 3100 3369 3720 4492 4650 5615 6200 6738 8984 9300 11230 13476 16845 18600 22460 26952 28075 33690 34813 44920 56150 67380 69626 84225 104439 112300 134760 139252 168450 174065 208878 224600 278504 336900 348130 417756 522195 673800 696260 835512 870325 1044390 1392520 1740650 2088780 2610975 3481300 4177560 5221950 6962600 10443900 20887800