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1240080440 = 235431993623
BaseRepresentation
bin100100111101010…
…0010000000111000
310012102102121120012
41021322202000320
510014430033230
6323015121052
742505336604
oct11172420070
93172377505
101240080440
11586aa1875
122a7373188
13169bb8811
14ba9a4504
1573d06395
hex49ea2038

1240080440 has 64 divisors (see below), whose sum is σ = 2870208000. Its totient is φ = 481928832.

The previous prime is 1240080437. The next prime is 1240080449. The reversal of 1240080440 is 440800421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240080449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340469 + ... + 344091.

It is an arithmetic number, because the mean of its divisors is an integer number (44847000).

Almost surely, 21240080440 is an apocalyptic number.

1240080440 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 1240080440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435104000).

1240080440 is an abundant number, since it is smaller than the sum of its proper divisors (1630127560).

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

1240080440 is a wasteful number, since it uses less digits than its factorization.

1240080440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 1240080440 is about 35214.7758760439. The cubic root of 1240080440 is about 1074.3603015818.

Adding to 1240080440 its reverse (440800421), we get a palindrome (1680880861).

The spelling of 1240080440 in words is "one billion, two hundred forty million, eighty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 199 215 344 398 430 796 860 995 1592 1720 1990 3623 3980 7246 7960 8557 14492 17114 18115 28984 34228 36230 42785 68456 72460 85570 144920 155789 171140 311578 342280 623156 720977 778945 1246312 1441954 1557890 2883908 3115780 3604885 5767816 6231560 7209770 14419540 28839080 31002011 62004022 124008044 155010055 248016088 310020110 620040220 1240080440