Search a number
-
+
1066896 = 243231239
BaseRepresentation
bin100000100011110010000
32000012111200
410010132100
5233120041
634511200
712032325
oct4043620
92005450
101066896
11669636
12435500
132b47cc
141dab4c
151611b6
hex104790

1066896 has 60 divisors (see below), whose sum is σ = 3095040. Its totient is φ = 342720.

The previous prime is 1066889. The next prime is 1066909. The reversal of 1066896 is 6986601.

It is a super-2 number, since 2×10668962 = 2276534149632, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1066896.

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 11 ways as a sum of consecutive naturals, for example, 4345 + ... + 4583.

It is an arithmetic number, because the mean of its divisors is an integer number (51584).

21066896 is an apocalyptic number.

1066896 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 1066896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547520).

1066896 is an abundant number, since it is smaller than the sum of its proper divisors (2028144).

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

1066896 is a wasteful number, since it uses less digits than its factorization.

1066896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1066896 is about 1032.9065785443. The cubic root of 1066896 is about 102.1819129734.

The spelling of 1066896 in words is "one million, sixty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 239 248 279 372 478 496 558 717 744 956 1116 1434 1488 1912 2151 2232 2868 3824 4302 4464 5736 7409 8604 11472 14818 17208 22227 29636 34416 44454 59272 66681 88908 118544 133362 177816 266724 355632 533448 1066896