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969216 = 293631
BaseRepresentation
bin11101100101000000000
31211020111220
43230220000
5222003331
632435040
711144463
oct3545000
91736456
10969216
11602206
123a8a80
1327c201
141b32da
15142296
hexeca00

969216 has 40 divisors (see below), whose sum is σ = 2586144. Its totient is φ = 322560.

The previous prime is 969181. The next prime is 969233. The reversal of 969216 is 612969.

It is a happy number.

969216 is nontrivially palindromic in base 11.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 969216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1221 + ... + 1851.

2969216 is an apocalyptic number.

969216 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 969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293072).

969216 is an abundant number, since it is smaller than the sum of its proper divisors (1616928).

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

969216 is an equidigital number, since it uses as much as digits as its factorization.

969216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 969216 is about 984.4876840266. The cubic root of 969216 is about 98.9631533116.

It can be divided in two parts, 96 and 9216, that multiplied together give a cube (884736 = 963).

The spelling of 969216 in words is "nine hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 631 768 1262 1536 1893 2524 3786 5048 7572 10096 15144 20192 30288 40384 60576 80768 121152 161536 242304 323072 484608 969216