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20871300 = 22352292399
BaseRepresentation
bin100111110011…
…1100010000100
31110021101001010
41033213202010
520320340200
62023202220
7342255162
oct117474204
943241033
1020871300
1110865a0a
126ba6370
134429ba8
142ab4232
151c74150
hex13e7884

20871300 has 72 divisors (see below), whose sum is σ = 62496000. Its totient is φ = 5371520.

The previous prime is 20871299. The next prime is 20871311. The reversal of 20871300 is 317802.

It is a super-2 number, since 2×208713002 = 871222327380000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7501 + ... + 9899.

It is an arithmetic number, because the mean of its divisors is an integer number (868000).

Almost surely, 220871300 is an apocalyptic number.

20871300 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 20871300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248000).

20871300 is an abundant number, since it is smaller than the sum of its proper divisors (41624700).

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

20871300 is a wasteful number, since it uses less digits than its factorization.

20871300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 20871300 is about 4568.5117926957. The cubic root of 20871300 is about 275.3276535336.

The spelling of 20871300 in words is "twenty million, eight hundred seventy-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2399 2900 4350 4798 7197 8700 9596 11995 14394 23990 28788 35985 47980 59975 69571 71970 119950 139142 143940 179925 208713 239900 278284 347855 359850 417426 695710 719700 834852 1043565 1391420 1739275 2087130 3478550 4174260 5217825 6957100 10435650 20871300