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2013788080 = 245109230939
BaseRepresentation
bin111100000000111…
…1111011110110000
312012100022000220201
41320001333132300
513111012204310
6531454244544
7100621626163
oct17001773660
95170260821
102013788080
11943804877
124824b6754
132612941a5
14151647ada
15bbbd7e3a
hex7807f7b0

2013788080 has 40 divisors (see below), whose sum is σ = 4725032400. Its totient is φ = 798121728.

The previous prime is 2013788041. The next prime is 2013788089. The reversal of 2013788080 is 808873102.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2013788089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106750 + ... + 124189.

It is an arithmetic number, because the mean of its divisors is an integer number (118125810).

Almost surely, 22013788080 is an apocalyptic number.

2013788080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013788080 is an abundant number, since it is smaller than the sum of its proper divisors (2711244320).

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

2013788080 is a wasteful number, since it uses less digits than its factorization.

2013788080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231061 (or 231055 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 2013788080 is about 44875.2501942886. The cubic root of 2013788080 is about 1262.8097371596.

The spelling of 2013788080 in words is "two billion, thirteen million, seven hundred eighty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 230939 461878 923756 1154695 1847512 2309390 3695024 4618780 9237560 18475120 25172351 50344702 100689404 125861755 201378808 251723510 402757616 503447020 1006894040 2013788080