Search a number
-
+
1002421500 = 223535631187
BaseRepresentation
bin111011101111111…
…011110011111100
32120212020021210020
4323233323303330
54023104442000
6243245212140
733561304443
oct7357736374
92525207706
101002421500
11474928123
1223b861050
1312c8a7422
14971bbd5a
155d00dba0
hex3bbfbcfc

1002421500 has 96 divisors (see below), whose sum is σ = 2926699776. Its totient is φ = 266612800.

The previous prime is 1002421493. The next prime is 1002421517. The reversal of 1002421500 is 51242001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002421500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 843907 + ... + 845093.

It is an arithmetic number, because the mean of its divisors is an integer number (30486456).

Almost surely, 21002421500 is an apocalyptic number.

1002421500 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 1002421500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463349888).

1002421500 is an abundant number, since it is smaller than the sum of its proper divisors (1924278276).

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

1002421500 is a wasteful number, since it uses less digits than its factorization.

1002421500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1002421500 is about 31661.0407283147. The cubic root of 1002421500 is about 1000.8065160237.

Adding to 1002421500 its reverse (51242001), we get a palindrome (1053663501).

The spelling of 1002421500 in words is "one billion, two million, four hundred twenty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 563 750 1126 1187 1500 1689 2252 2374 2815 3378 3561 4748 5630 5935 6756 7122 8445 11260 11870 14075 14244 16890 17805 23740 28150 29675 33780 35610 42225 56300 59350 70375 71220 84450 89025 118700 140750 148375 168900 178050 211125 281500 296750 356100 422250 445125 593500 668281 844500 890250 1336562 1780500 2004843 2673124 3341405 4009686 6682810 8019372 10024215 13365620 16707025 20048430 33414050 40096860 50121075 66828100 83535125 100242150 167070250 200484300 250605375 334140500 501210750 1002421500