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20102280 = 23351197157
BaseRepresentation
bin100110010101…
…1110010001000
31101211022010220
41030223302020
520121233110
61554510040
7332603142
oct114536210
941738126
1020102280
1110390160
126895320
13421ab53
142953c92
151b71370
hex132bc88

20102280 has 128 divisors (see below), whose sum is σ = 66890880. Its totient is φ = 4792320.

The previous prime is 20102273. The next prime is 20102293. The reversal of 20102280 is 8220102.

It is a super-2 number, since 2×201022802 = 808203322396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127962 + ... + 128118.

It is an arithmetic number, because the mean of its divisors is an integer number (522585).

Almost surely, 220102280 is an apocalyptic number.

20102280 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 20102280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33445440).

20102280 is an abundant number, since it is smaller than the sum of its proper divisors (46788600).

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

20102280 is a wasteful number, since it uses less digits than its factorization.

20102280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20102280 is about 4483.5566239315. The cubic root of 20102280 is about 271.9036928365.

Adding to 20102280 its reverse (8220102), we get a palindrome (28322382).

It can be divided in two parts, 201022 and 80, that added together give a palindrome (201102).

The spelling of 20102280 in words is "twenty million, one hundred two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 97 110 120 132 157 165 194 220 264 291 314 330 388 440 471 485 582 628 660 776 785 942 970 1067 1164 1256 1320 1455 1570 1727 1884 1940 2134 2328 2355 2910 3140 3201 3454 3768 3880 4268 4710 5181 5335 5820 6280 6402 6908 8536 8635 9420 10362 10670 11640 12804 13816 15229 16005 17270 18840 20724 21340 25608 25905 30458 32010 34540 41448 42680 45687 51810 60916 64020 69080 76145 91374 103620 121832 128040 152290 167519 182748 207240 228435 304580 335038 365496 456870 502557 609160 670076 837595 913740 1005114 1340152 1675190 1827480 2010228 2512785 3350380 4020456 5025570 6700760 10051140 20102280