Search a number
-
+
1005235000 = 23547211373
BaseRepresentation
bin111011111010101…
…010101100111000
32121001112020011221
4323322222230320
54024320010000
6243425401424
733624233200
oct7372525470
92531466157
101005235000
11476479a30
12240799274
13130350c13
1497711400
155d3b761a
hex3beaab38

1005235000 has 240 divisors, whose sum is σ = 2996884440. Its totient is φ = 312480000.

The previous prime is 1005234983. The next prime is 1005235009. The reversal of 1005235000 is 5325001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005235009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2694814 + ... + 2695186.

Almost surely, 21005235000 is an apocalyptic number.

1005235000 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 1005235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498442220).

1005235000 is an abundant number, since it is smaller than the sum of its proper divisors (1991649440).

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

1005235000 is a wasteful number, since it uses less digits than its factorization.

1005235000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 1005235000 is about 31705.4411734011. The cubic root of 1005235000 is about 1001.7419638002.

Subtracting from 1005235000 its reverse (5325001), we obtain a palindrome (999909999).

The spelling of 1005235000 in words is "one billion, five million, two hundred thirty-five thousand".