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868284420 = 223519240087
BaseRepresentation
bin110011110000001…
…111100000000100
32020111211102022020
4303300033200010
53234240100140
6222054203140
730342203313
oct6360174004
92214742266
10868284420
1140613aa33
122029534b0
1310ab70883
148346227a
15513646d0
hex33c0f804

868284420 has 72 divisors (see below), whose sum is σ = 2565952704. Its totient is φ = 219350592.

The previous prime is 868284383. The next prime is 868284433. The reversal of 868284420 is 24482868.

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, 1617 + ... + 41703.

It is an arithmetic number, because the mean of its divisors is an integer number (35638232).

Almost surely, 2868284420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868284420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282976352).

868284420 is an abundant number, since it is smaller than the sum of its proper divisors (1697668284).

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

868284420 is a wasteful number, since it uses less digits than its factorization.

868284420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40137 (or 40116 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 868284420 is about 29466.6662518854. Note that the first 3 decimals coincide. The cubic root of 868284420 is about 954.0123630990.

The spelling of 868284420 in words is "eight hundred sixty-eight million, two hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 2166 3610 4332 5415 7220 10830 21660 40087 80174 120261 160348 200435 240522 400870 481044 601305 761653 801740 1202610 1523306 2284959 2405220 3046612 3808265 4569918 7616530 9139836 11424795 14471407 15233060 22849590 28942814 43414221 45699180 57885628 72357035 86828442 144714070 173656884 217071105 289428140 434142210 868284420