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2102443440 = 24358998429
BaseRepresentation
bin111110101010000…
…1011110110110000
312102112010012012120
41331110023312300
513301211142230
6544342354240
7103046321466
oct17524136660
95375105176
102102443440
11989857969
124a812b980
13276765096
1415d324836
15c489b310
hex7d50bdb0

2102443440 has 80 divisors (see below), whose sum is σ = 6590872800. Its totient is φ = 554346496.

The previous prime is 2102443417. The next prime is 2102443459. The reversal of 2102443440 is 443442012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2102443440.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27855 + ... + 70574.

It is an arithmetic number, because the mean of its divisors is an integer number (82385910).

Almost surely, 22102443440 is an apocalyptic number.

2102443440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102443440 is an abundant number, since it is smaller than the sum of its proper divisors (4488429360).

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

2102443440 is a wasteful number, since it uses less digits than its factorization.

2102443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98534 (or 98528 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2102443440 is about 45852.4093151058. The cubic root of 2102443440 is about 1281.0756420599.

Adding to 2102443440 its reverse (443442012), we get a palindrome (2545885452).

The spelling of 2102443440 in words is "two billion, one hundred two million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 2136 2670 3560 4272 5340 7120 10680 21360 98429 196858 295287 393716 492145 590574 787432 984290 1181148 1476435 1574864 1968580 2362296 2952870 3937160 4724592 5905740 7874320 8760181 11811480 17520362 23622960 26280543 35040724 43800905 52561086 70081448 87601810 105122172 131402715 140162896 175203620 210244344 262805430 350407240 420488688 525610860 700814480 1051221720 2102443440