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20950180 = 2252941881
BaseRepresentation
bin100111111101…
…0110010100100
31110102101020121
41033322302210
520330401210
62025011324
7343034146
oct117726244
943371217
1020950180
111090a1a9
127023b44
134456a74
142ad4c96
151c8c6da
hex13faca4

20950180 has 48 divisors (see below), whose sum is σ = 46675440. Its totient is φ = 7884800.

The previous prime is 20950169. The next prime is 20950187. The reversal of 20950180 is 8105902.

It can be written as a sum of positive squares in 8 ways, for example, as 5125696 + 15824484 = 2264^2 + 3978^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20950187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23340 + ... + 24220.

It is an arithmetic number, because the mean of its divisors is an integer number (972405).

Almost surely, 220950180 is an apocalyptic number.

20950180 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 20950180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23337720).

20950180 is an abundant number, since it is smaller than the sum of its proper divisors (25725260).

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

20950180 is a wasteful number, since it uses less digits than its factorization.

20950180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 20950180 is about 4577.1366595285. The cubic root of 20950180 is about 275.6740709076.

The spelling of 20950180 in words is "twenty million, nine hundred fifty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 881 1189 1762 2378 3524 4405 4756 5945 8810 11890 17620 23780 25549 36121 51098 72242 102196 127745 144484 180605 255490 361210 510980 722420 1047509 2095018 4190036 5237545 10475090 20950180