Search a number
-
+
890596411320 = 2335711229734139
BaseRepresentation
bin11001111010110111010…
…11101100011110111000
310011010210012021021122010
430331123223230132320
5104042420140130240
61521045003525520
7121225544410050
oct14753353543670
93133705237563
10890596411320
11313777502500
1212472ab298a0
1365ca150bc55
1431168554560
1518276bcd280
hexcf5baec7b8

890596411320 has 768 divisors, whose sum is σ = 3520444032000. Its totient is φ = 176187432960.

The previous prime is 890596411297. The next prime is 890596411321. The reversal of 890596411320 is 23114695098.

It is a self number, because there is not a number n which added to its sum of digits gives 890596411320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890596411321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215169811 + ... + 215173949.

It is an arithmetic number, because the mean of its divisors is an integer number (4583911500).

Almost surely, 2890596411320 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 890596411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760222016000).

890596411320 is an abundant number, since it is smaller than the sum of its proper divisors (2629847620680).

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

890596411320 is a wasteful number, since it uses less digits than its factorization.

890596411320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 890596411320 in words is "eight hundred ninety billion, five hundred ninety-six million, four hundred eleven thousand, three hundred twenty".