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20950600 = 23521189107
BaseRepresentation
bin100111111101…
…0111001001000
31110102101211011
41033322321020
520330404400
62025013304
7343035316
oct117727110
943371734
1020950600
111090a550
127024234
134457008
142ad50b6
151c8c8ba
hex13fae48

20950600 has 96 divisors (see below), whose sum is σ = 54237600. Its totient is φ = 7462400.

The previous prime is 20950591. The next prime is 20950603. The reversal of 20950600 is 605902.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (20950603) 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, 195747 + ... + 195853.

It is an arithmetic number, because the mean of its divisors is an integer number (564975).

Almost surely, 220950600 is an apocalyptic number.

20950600 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 20950600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27118800).

20950600 is an abundant number, since it is smaller than the sum of its proper divisors (33287000).

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

20950600 is a wasteful number, since it uses less digits than its factorization.

20950600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 20950600 is about 4577.1825395105. The cubic root of 20950600 is about 275.6759130928.

The spelling of 20950600 in words is "twenty million, nine hundred fifty thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 89 100 107 110 178 200 214 220 275 356 428 440 445 535 550 712 856 890 979 1070 1100 1177 1780 1958 2140 2200 2225 2354 2675 3560 3916 4280 4450 4708 4895 5350 5885 7832 8900 9416 9523 9790 10700 11770 17800 19046 19580 21400 23540 24475 29425 38092 39160 47080 47615 48950 58850 76184 95230 97900 104753 117700 190460 195800 209506 235400 238075 380920 419012 476150 523765 838024 952300 1047530 1904600 2095060 2618825 4190120 5237650 10475300 20950600