Search a number
-
+
9991296 = 27337259
BaseRepresentation
bin100110000111…
…010010000000
3200210121111000
4212013102000
510024210141
6554052000
7150632100
oct46072200
920717430
109991296
115704677
12341a000
1320ba913
141481200
15d255b6
hex987480

9991296 has 192 divisors, whose sum is σ = 34884000. Its totient is φ = 2806272.

The previous prime is 9991277. The next prime is 9991297. The reversal of 9991296 is 6921999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9991297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169315 + ... + 169373.

Almost surely, 29991296 is an apocalyptic number.

9991296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9991296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17442000).

9991296 is an abundant number, since it is smaller than the sum of its proper divisors (24892704).

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

9991296 is a wasteful number, since it uses less digits than its factorization.

9991296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its digits is 78732, while the sum is 45.

The square root of 9991296 is about 3160.9011373341. The cubic root of 9991296 is about 215.3809435271.

The spelling of 9991296 in words is "nine million, nine hundred ninety-one thousand, two hundred ninety-six".