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20831860 = 2257229733
BaseRepresentation
bin100111101110…
…1111001110100
31110012100221101
41033131321310
520313104420
62022255444
7342032200
oct117357164
943170841
1020831860
1110839315
126b87584
134414c5a
142aa3b00
151c6760a
hex13dde74

20831860 has 72 divisors (see below), whose sum is σ = 52715880. Its totient is φ = 6886656.

The previous prime is 20831849. The next prime is 20831861. The reversal of 20831860 is 6813802.

It can be written as a sum of positive squares in 4 ways, for example, as 7683984 + 13147876 = 2772^2 + 3626^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20831861) 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, 28054 + ... + 28786.

It is an arithmetic number, because the mean of its divisors is an integer number (732165).

Almost surely, 220831860 is an apocalyptic number.

20831860 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 20831860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26357940).

20831860 is an abundant number, since it is smaller than the sum of its proper divisors (31884020).

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

20831860 is a wasteful number, since it uses less digits than its factorization.

20831860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 20831860 is about 4564.1932474425. The cubic root of 20831860 is about 275.1541174690.

The spelling of 20831860 in words is "twenty million, eight hundred thirty-one thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 733 812 980 1015 1421 1466 2030 2842 2932 3665 4060 5131 5684 7105 7330 10262 14210 14660 20524 21257 25655 28420 35917 42514 51310 71834 85028 102620 106285 143668 148799 179585 212570 297598 359170 425140 595196 718340 743995 1041593 1487990 2083186 2975980 4166372 5207965 10415930 20831860