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2820172680 = 2333513200867
BaseRepresentation
bin1010100000011000…
…0110101110001000
321021112122121122000
42220012012232020
521233431011210
61143502031000
7126613033533
oct25006065610
97245577560
102820172680
111217a06526
12668578460
1335c371140
141ca795a1a
151178c1ac0
hexa8186b88

2820172680 has 128 divisors (see below), whose sum is σ = 10123747200. Its totient is φ = 694192896.

The previous prime is 2820172633. The next prime is 2820172681. The reversal of 2820172680 is 862710282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2820172681) 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, 86394 + ... + 114473.

It is an arithmetic number, because the mean of its divisors is an integer number (79091775).

Almost surely, 22820172680 is an apocalyptic number.

2820172680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2820172680 is an abundant number, since it is smaller than the sum of its proper divisors (7303574520).

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

2820172680 is a wasteful number, since it uses less digits than its factorization.

2820172680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200900 (or 200890 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2820172680 is about 53105.2980407793. The cubic root of 2820172680 is about 1412.8364810933.

The spelling of 2820172680 in words is "two billion, eight hundred twenty million, one hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 200867 401734 602601 803468 1004335 1205202 1606936 1807803 2008670 2410404 2611271 3013005 3615606 4017340 4820808 5222542 5423409 6026010 7231212 7833813 8034680 9039015 10445084 10846818 12052020 13056355 14462424 15667626 18078030 20890168 21693636 23501439 24104040 26112710 27117045 31335252 36156060 39169065 43387272 47002878 52225420 54234090 62670504 70504317 72312120 78338130 94005756 104450840 108468180 117507195 141008634 156676260 188011512 216936360 235014390 282017268 313352520 352521585 470028780 564034536 705043170 940057560 1410086340 2820172680