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991296 = 26321721
BaseRepresentation
bin11110010000001000000
31212100210200
43302001000
5223210141
633125200
711266035
oct3620100
91770720
10991296
11617859
123b9800
13289287
141bb38c
15148ab6
hexf2040

991296 has 42 divisors (see below), whose sum is σ = 2843022. Its totient is φ = 330240.

The previous prime is 991273. The next prime is 991313. The reversal of 991296 is 692199.

It can be written as a sum of positive squares in only one way, i.e., 921600 + 69696 = 960^2 + 264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 991296.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 991296.

It is an unprimeable number.

991296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 285 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (67691).

2991296 is an apocalyptic number.

991296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

991296 is an abundant number, since it is smaller than the sum of its proper divisors (1851726).

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

991296 is a wasteful number, since it uses less digits than its factorization.

991296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1726 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 991296 is about 995.6384886092. The cubic root of 991296 is about 99.7090207989.

The spelling of 991296 in words is "nine hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1721 3442 5163 6884 10326 13768 15489 20652 27536 30978 41304 55072 61956 82608 110144 123912 165216 247824 330432 495648 991296