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2432920980 = 2235710095741
BaseRepresentation
bin1001000100000011…
…0110110110010100
320021112222012011110
42101000312312110
514440311432410
61041225535020
7114201326040
oct22100666624
96245865143
102432920980
1110393585a6
1257a944470
132ca074319
1419118d020
15e38ca720
hex91036d94

2432920980 has 96 divisors (see below), whose sum is σ = 7794420480. Its totient is φ = 555448320.

The previous prime is 2432920937. The next prime is 2432920981. The reversal of 2432920980 is 890292342.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432920981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420910 + ... + 426650.

It is an arithmetic number, because the mean of its divisors is an integer number (81191880).

Almost surely, 22432920980 is an apocalyptic number.

2432920980 is a gapful number since it is divisible by the number (20) 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 2432920980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897210240).

2432920980 is an abundant number, since it is smaller than the sum of its proper divisors (5361499500).

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

2432920980 is a wasteful number, since it uses less digits than its factorization.

2432920980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2432920980 is about 49324.6488076702. The cubic root of 2432920980 is about 1344.9598952493.

The spelling of 2432920980 in words is "two billion, four hundred thirty-two million, nine hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1009 2018 3027 4036 5045 5741 6054 7063 10090 11482 12108 14126 15135 17223 20180 21189 22964 28252 28705 30270 34446 35315 40187 42378 57410 60540 68892 70630 80374 84756 86115 105945 114820 120561 141260 160748 172230 200935 211890 241122 344460 401870 423780 482244 602805 803740 1205610 2411220 5792669 11585338 17378007 23170676 28963345 34756014 40548683 57926690 69512028 81097366 86890035 115853380 121646049 162194732 173780070 202743415 243292098 347560140 405486830 486584196 608230245 810973660 1216460490 2432920980