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20831100 = 22352233019
BaseRepresentation
bin100111101110…
…1101101111100
31110012022220020
41033131231330
520313043400
62022252140
7342030033
oct117355574
943168806
1020831100
1110838794
126b87050
1344147c4
142aa371a
151c672a0
hex13ddb7c

20831100 has 72 divisors (see below), whose sum is σ = 62912640. Its totient is φ = 5311680.

The previous prime is 20831093. The next prime is 20831119. The reversal of 20831100 is 113802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20831100.

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 23 ways as a sum of consecutive naturals, for example, 5391 + ... + 8409.

Almost surely, 220831100 is an apocalyptic number.

20831100 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 20831100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31456320).

20831100 is an abundant number, since it is smaller than the sum of its proper divisors (42081540).

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

20831100 is a wasteful number, since it uses less digits than its factorization.

20831100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 20831100 is about 4564.1099899104. The cubic root of 20831100 is about 275.1507713176.

Adding to 20831100 its reverse (113802), we get a palindrome (20944902).

The spelling of 20831100 in words is "twenty million, eight hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3019 3450 6038 6900 9057 12076 15095 18114 30190 36228 45285 60380 69437 75475 90570 138874 150950 181140 208311 226425 277748 301900 347185 416622 452850 694370 833244 905700 1041555 1388740 1735925 2083110 3471850 4166220 5207775 6943700 10415550 20831100