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1920468660 = 2235116914211
BaseRepresentation
bin111001001111000…
…0000011010110100
311221211200220201220
41302132000122310
512413114444120
6514322150340
765406466665
oct16236003264
94854626656
101920468660
118a6066590
124571b23b0
13247b4c3b6
141430b536c
15b3902b40
hex727806b4

1920468660 has 96 divisors (see below), whose sum is σ = 5876043264. Its totient is φ = 464784000.

The previous prime is 1920468629. The next prime is 1920468661. The reversal of 1920468660 is 668640291.

1920468660 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920468661) 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, 453955 + ... + 458165.

It is an arithmetic number, because the mean of its divisors is an integer number (61208784).

Almost surely, 21920468660 is an apocalyptic number.

1920468660 is a gapful number since it is divisible by the number (10) 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 1920468660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938021632).

1920468660 is an abundant number, since it is smaller than the sum of its proper divisors (3955574604).

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

1920468660 is a wasteful number, since it uses less digits than its factorization.

1920468660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1920468660 is about 43823.1521002312. The cubic root of 1920468660 is about 1242.9941216257.

The spelling of 1920468660 in words is "one billion, nine hundred twenty million, four hundred sixty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 691 1382 2073 2764 3455 4146 4211 6910 7601 8292 8422 10365 12633 13820 15202 16844 20730 21055 22803 25266 30404 38005 41460 42110 45606 46321 50532 63165 76010 84220 91212 92642 114015 126330 138963 152020 185284 228030 231605 252660 277926 456060 463210 555852 694815 926420 1389630 2779260 2909801 5819602 8729403 11639204 14549005 17458806 29098010 32007811 34917612 43647015 58196020 64015622 87294030 96023433 128031244 160039055 174588060 192046866 320078110 384093732 480117165 640156220 960234330 1920468660