Search a number
-
+
1005020432 = 24134831829
BaseRepresentation
bin111011111001110…
…110010100010000
32121001010022211222
4323321312110100
54024241123212
6243421024212
733622350503
oct7371662420
92531108758
101005020432
114763427a9
122406b5068
131302a7360
149769713a
155d373c72
hex3be76510

1005020432 has 20 divisors (see below), whose sum is σ = 2097014220. Its totient is φ = 463855488.

The previous prime is 1005020363. The next prime is 1005020453. The reversal of 1005020432 is 2340205001.

It can be written as a sum of positive squares in 2 ways, for example, as 685182976 + 319837456 = 26176^2 + 17884^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1005020432.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2415707 + ... + 2416122.

It is an arithmetic number, because the mean of its divisors is an integer number (104850711).

Almost surely, 21005020432 is an apocalyptic number.

It is an amenable number.

1005020432 is an abundant number, since it is smaller than the sum of its proper divisors (1091993788).

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

1005020432 is a wasteful number, since it uses less digits than its factorization.

1005020432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831850 (or 4831844 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1005020432 is about 31702.0572203130. The cubic root of 1005020432 is about 1001.6706845919.

Adding to 1005020432 its reverse (2340205001), we get a palindrome (3345225433).

The spelling of 1005020432 in words is "one billion, five million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 4831829 9663658 19327316 38654632 62813777 77309264 125627554 251255108 502510216 1005020432