Search a number
-
+
9710190140 = 22572331891093
BaseRepresentation
bin10010000101100010…
…11011111000111100
3221001201102202201212
421002301123320330
5124341302041030
64243311023552
7462425153150
oct110261337074
927051382655
109710190140
114133170632
121a6bb0abb8
13bb9949951
14681883060
153bc713595
hex242c5be3c

9710190140 has 192 divisors, whose sum is σ = 25407406080. Its totient is φ = 3044321280.

The previous prime is 9710190131. The next prime is 9710190143. The reversal of 9710190140 is 410910179.

It is a happy number.

9710190140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9710190097 and 9710190106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9710190143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8883434 + ... + 8884526.

It is an arithmetic number, because the mean of its divisors is an integer number (132330240).

Almost surely, 29710190140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9710190140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12703703040).

9710190140 is an abundant number, since it is smaller than the sum of its proper divisors (15697215940).

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

9710190140 is a wasteful number, since it uses less digits than its factorization.

9710190140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 32.

The square root of 9710190140 is about 98540.2970362887. The cubic root of 9710190140 is about 2133.4177857735.

The spelling of 9710190140 in words is "nine billion, seven hundred ten million, one hundred ninety thousand, one hundred forty".