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1969216 = 26291061
BaseRepresentation
bin111100000110001000000
310201001020221
413200301000
51001003331
6110112424
722511104
oct7406100
93631227
101969216
111125557
127ab714
1353c422
14393904
1528d711
hex1e0c40

1969216 has 28 divisors (see below), whose sum is σ = 4046220. Its totient is φ = 949760.

The previous prime is 1969207. The next prime is 1969223. The reversal of 1969216 is 6129691.

It can be written as a sum of positive squares in 2 ways, for example, as 1166400 + 802816 = 1080^2 + 896^2 .

It is a plaindrome in base 11.

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, 1326 + ... + 2386.

21969216 is an apocalyptic number.

1969216 is a gapful number since it is divisible by the number (16) 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 1969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023110).

1969216 is an abundant number, since it is smaller than the sum of its proper divisors (2077004).

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

1969216 is a wasteful number, since it uses less digits than its factorization.

1969216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1092 counting only the distinct ones).

The product of its digits is 5832, while the sum is 34.

The square root of 1969216 is about 1403.2875685333. The cubic root of 1969216 is about 125.3423362579.

It can be divided in two parts, 196 and 9216, that multiplied together give a square (1806336 = 13442).

The spelling of 1969216 in words is "one million, nine hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1061 1856 2122 4244 8488 16976 30769 33952 61538 67904 123076 246152 492304 984608 1969216