Search a number
-
+
1004202000 = 243253471187
BaseRepresentation
bin111011110110101…
…110100000010000
32120222120202011200
4323312232200100
54024033431000
6243351311200
733612401424
oct7366564020
92528522150
101004202000
1147593390a
1224037b500
1313007b989
1497522b84
155d261500
hex3bdae810

1004202000 has 240 divisors, whose sum is σ = 3584984832. Its totient is φ = 261868800.

The previous prime is 1004201999. The next prime is 1004202029. The reversal of 1004202000 is 2024001.

1004202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845407 + ... + 846593.

Almost surely, 21004202000 is an apocalyptic number.

1004202000 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 1004202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792492416).

1004202000 is an abundant number, since it is smaller than the sum of its proper divisors (2580782832).

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

1004202000 is a wasteful number, since it uses less digits than its factorization.

1004202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1004202000 is about 31689.1464069325. The cubic root of 1004202000 is about 1001.3987093666.

Adding to 1004202000 its reverse (2024001), we get a palindrome (1006226001).

The spelling of 1004202000 in words is "one billion, four million, two hundred two thousand".