Search a number
-
+
968205460 = 22548410273
BaseRepresentation
bin111001101101011…
…010010010010100
32111110211221012111
4321231122102110
53440330033320
6240024000404
732664416305
oct7155322224
92443757174
10968205460
11457588102
12230300104
13125787451
14928327ac
155a000a5a
hex39b5a494

968205460 has 12 divisors (see below), whose sum is σ = 2033231508. Its totient is φ = 387282176.

The previous prime is 968205449. The next prime is 968205461. The reversal of 968205460 is 64502869.

It is a happy number.

968205460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 348494224 + 619711236 = 18668^2 + 24894^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968205461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24205117 + ... + 24205156.

It is an arithmetic number, because the mean of its divisors is an integer number (169435959).

Almost surely, 2968205460 is an apocalyptic number.

It is an amenable number.

968205460 is an abundant number, since it is smaller than the sum of its proper divisors (1065026048).

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

968205460 is a wasteful number, since it uses less digits than its factorization.

968205460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48410282 (or 48410280 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 968205460 is about 31116.0000642756. Note that the first 4 decimals coincide. The cubic root of 968205460 is about 989.2874715172.

The spelling of 968205460 in words is "nine hundred sixty-eight million, two hundred five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 48410273 96820546 193641092 242051365 484102730 968205460