Search a number
-
+
993140961 = 31392381633
BaseRepresentation
bin111011001100100…
…010000011100001
32120012202210021120
4323030202003201
54013221002321
6242314242453
733416362461
oct7314420341
92505683246
10993140961
1146a66955a
12238726429
1312a9a8197
1495c83ba1
155c2c8ec6
hex3b3220e1

993140961 has 8 divisors (see below), whose sum is σ = 1333715040. Its totient is φ = 657330432.

The previous prime is 993140959. The next prime is 993141007. The reversal of 993140961 is 169041399.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 993140961 - 21 = 993140959 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (993140761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1190400 + ... + 1191233.

It is an arithmetic number, because the mean of its divisors is an integer number (166714380).

Almost surely, 2993140961 is an apocalyptic number.

It is an amenable number.

993140961 is a deficient number, since it is larger than the sum of its proper divisors (340574079).

993140961 is a wasteful number, since it uses less digits than its factorization.

993140961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381775.

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 993140961 is about 31514.1390648705. The cubic root of 993140961 is about 997.7084062762.

The spelling of 993140961 in words is "nine hundred ninety-three million, one hundred forty thousand, nine hundred sixty-one".

Divisors: 1 3 139 417 2381633 7144899 331046987 993140961