Search a number
-
+
800390960 = 24519526573
BaseRepresentation
bin101111101101001…
…111111100110000
32001210002001222122
4233231033330300
53114400002320
6211231053412
725556132225
oct5755177460
92053061878
10800390960
11380888636
121a4071268
13c9a8bb25
147842b94c
154a402d25
hex2fb4ff30

800390960 has 40 divisors (see below), whose sum is σ = 1958855280. Its totient is φ = 303305472.

The previous prime is 800390959. The next prime is 800390977. The reversal of 800390960 is 69093008.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 800390960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261767 + ... + 264806.

It is an arithmetic number, because the mean of its divisors is an integer number (48971382).

Almost surely, 2800390960 is an apocalyptic number.

800390960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800390960 is an abundant number, since it is smaller than the sum of its proper divisors (1158464320).

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

800390960 is a wasteful number, since it uses less digits than its factorization.

800390960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526605 (or 526599 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 800390960 is about 28291.1816649641. The cubic root of 800390960 is about 928.4689650592.

The spelling of 800390960 in words is "eight hundred million, three hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 526573 1053146 2106292 2632865 4212584 5265730 8425168 10004887 10531460 20009774 21062920 40019548 42125840 50024435 80039096 100048870 160078192 200097740 400195480 800390960