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1065216 = 2831973
BaseRepresentation
bin100000100000100000000
32000010012110
410010010000
5233041331
634455320
712024405
oct4040400
92003173
101065216
11668349
12434540
132b3b09
141da2ac
15160946
hex104100

1065216 has 72 divisors (see below), whose sum is σ = 3025120. Its totient is φ = 331776.

The previous prime is 1065209. The next prime is 1065217. The reversal of 1065216 is 6125601.

It is a happy number.

It is a super-2 number, since 2×10652162 = 2269370253312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1065192 and 1065201.

It is not an unprimeable number, because it can be changed into a prime (1065217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14556 + ... + 14628.

21065216 is an apocalyptic number.

1065216 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 1065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512560).

1065216 is an abundant number, since it is smaller than the sum of its proper divisors (1959904).

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

1065216 is an equidigital number, since it uses as much as digits as its factorization.

1065216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1065216 is about 1032.0930190637. The cubic root of 1065216 is about 102.1282508240.

The spelling of 1065216 in words is "one million, sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 73 76 96 114 128 146 152 192 219 228 256 292 304 384 438 456 584 608 768 876 912 1168 1216 1387 1752 1824 2336 2432 2774 3504 3648 4161 4672 4864 5548 7008 7296 8322 9344 11096 14016 14592 16644 18688 22192 28032 33288 44384 56064 66576 88768 133152 177536 266304 355072 532608 1065216