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1808113680 = 243252511269
BaseRepresentation
bin110101111000101…
…1010000000010000
311200000021200200100
41223301122000100
512200334114210
6455230052400
762543466312
oct15361320020
94600250610
101808113680
118486a662a
1242564a100
1322a7a1169
141321c97b2
15a8b0c5c0
hex6bc5a010

1808113680 has 60 divisors (see below), whose sum is σ = 6072250860. Its totient is φ = 482163456.

The previous prime is 1808113679. The next prime is 1808113711. The reversal of 1808113680 is 863118081.

It can be written as a sum of positive squares in 2 ways, for example, as 493906176 + 1314207504 = 22224^2 + 36252^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1254915 + ... + 1256354.

It is an arithmetic number, because the mean of its divisors is an integer number (101204181).

Almost surely, 21808113680 is an apocalyptic number.

1808113680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1808113680 is an abundant number, since it is smaller than the sum of its proper divisors (4264137180).

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

1808113680 is a wasteful number, since it uses less digits than its factorization.

1808113680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511288 (or 2511279 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1808113680 is about 42521.9199942806. The cubic root of 1808113680 is about 1218.2654019753.

The spelling of 1808113680 in words is "one billion, eight hundred eight million, one hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2511269 5022538 7533807 10045076 12556345 15067614 20090152 22601421 25112690 30135228 37669035 40180304 45202842 50225380 60270456 75338070 90405684 100450760 113007105 120540912 150676140 180811368 200901520 226014210 301352280 361622736 452028420 602704560 904056840 1808113680