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20810920 = 23513311291
BaseRepresentation
bin100111101100…
…0110010101000
31110011022012211
41033120302220
520311422140
62022014504
7341614144
oct117306250
943138184
1020810920
1110824609
126b77434
134408570
142a9a224
151c612ea
hex13d8ca8

20810920 has 64 divisors (see below), whose sum is σ = 52093440. Its totient is φ = 7430400.

The previous prime is 20810897. The next prime is 20810981. The reversal of 20810920 is 2901802.

It is a junction number, because it is equal to n+sod(n) for n = 20810891 and 20810900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15475 + ... + 16765.

It is an arithmetic number, because the mean of its divisors is an integer number (813960).

Almost surely, 220810920 is an apocalyptic number.

20810920 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 20810920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26046720).

20810920 is an abundant number, since it is smaller than the sum of its proper divisors (31282520).

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

20810920 is a wasteful number, since it uses less digits than its factorization.

20810920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 20810920 is about 4561.8987275037. The cubic root of 20810920 is about 275.0618924053.

The spelling of 20810920 in words is "twenty million, eight hundred ten thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1291 1612 2015 2582 3224 4030 5164 6455 8060 10328 12910 16120 16783 25820 33566 40021 51640 67132 80042 83915 134264 160084 167830 200105 320168 335660 400210 520273 671320 800420 1040546 1600840 2081092 2601365 4162184 5202730 10405460 20810920