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20112820 = 22571343257
BaseRepresentation
bin100110010111…
…0010110110100
31101211211121021
41030232112310
520122102240
61555030524
7332645650
oct114562664
941754537
1020112820
1110398072
12689b444
1342228a0
142957a60
151b7454a
hex132e5b4

20112820 has 96 divisors (see below), whose sum is σ = 53399808. Its totient is φ = 6193152.

The previous prime is 20112817. The next prime is 20112821. The reversal of 20112820 is 2821102.

It is a junction number, because it is equal to n+sod(n) for n = 20112794 and 20112803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78132 + ... + 78388.

It is an arithmetic number, because the mean of its divisors is an integer number (556248).

Almost surely, 220112820 is an apocalyptic number.

20112820 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 20112820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26699904).

20112820 is an abundant number, since it is smaller than the sum of its proper divisors (33286988).

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

20112820 is a wasteful number, since it uses less digits than its factorization.

20112820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 20112820 is about 4484.7318760434. The cubic root of 20112820 is about 271.9512059244.

Adding to 20112820 its reverse (2821102), we get a palindrome (22933922).

The spelling of 20112820 in words is "twenty million, one hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 43 52 65 70 86 91 130 140 172 182 215 257 260 301 364 430 455 514 559 602 860 910 1028 1118 1204 1285 1505 1799 1820 2236 2570 2795 3010 3341 3598 3913 5140 5590 6020 6682 7196 7826 8995 11051 11180 13364 15652 16705 17990 19565 22102 23387 33410 35980 39130 44204 46774 55255 66820 77357 78260 93548 110510 116935 143663 154714 221020 233870 287326 309428 386785 467740 574652 718315 773570 1005641 1436630 1547140 2011282 2873260 4022564 5028205 10056410 20112820