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2820105180 = 2233517307201
BaseRepresentation
bin1010100000010111…
…0110001111011100
321021112112012001000
42220011312033130
521233421331210
61143500350300
7126612332664
oct25005661734
97245465030
102820105180
11121796a842
12668545390
1335c3494b9
141ca7791a4
151178abac0
hexa81763dc

2820105180 has 96 divisors (see below), whose sum is σ = 9289788480. Its totient is φ = 707788800.

The previous prime is 2820105157. The next prime is 2820105181. The reversal of 2820105180 is 815010282.

2820105180 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820105181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144421 + ... + 162780.

It is an arithmetic number, because the mean of its divisors is an integer number (96768630).

Almost surely, 22820105180 is an apocalyptic number.

2820105180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2820105180 is an abundant number, since it is smaller than the sum of its proper divisors (6469683300).

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

2820105180 is a wasteful number, since it uses less digits than its factorization.

2820105180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307236 (or 307228 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 2820105180 is about 53104.6625071660. The cubic root of 2820105180 is about 1412.8252090621.

The spelling of 2820105180 in words is "two billion, eight hundred twenty million, one hundred five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 307201 614402 921603 1228804 1536005 1843206 2764809 3072010 3686412 4608015 5222417 5529618 6144020 8294427 9216030 10444834 11059236 13824045 15667251 16588854 18432060 20889668 26112085 27648090 31334502 33177708 41472135 47001753 52224170 55296180 62669004 78336255 82944270 94003506 104448340 141005259 156672510 165888540 188007012 235008765 282010518 313345020 470017530 564021036 705026295 940035060 1410052590 2820105180