Search a number
-
+
1096832 = 27111941
BaseRepresentation
bin100001011110010000000
32001201120102
410023302000
5240044312
635301532
712215522
oct4136200
92051512
101096832
1168a080
1244a8a8
132c5319
14207a12
15169ec2
hex10bc80

1096832 has 64 divisors (see below), whose sum is σ = 2570400. Its totient is φ = 460800.

The previous prime is 1096831. The next prime is 1096853. The reversal of 1096832 is 2386901.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×10968323 = 3958599743233327104, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1096795 and 1096804.

It is not an unprimeable number, because it can be changed into a prime (1096831) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26732 + ... + 26772.

21096832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1096832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285200).

1096832 is an abundant number, since it is smaller than the sum of its proper divisors (1473568).

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

1096832 is a wasteful number, since it uses less digits than its factorization.

1096832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1096832 is about 1047.2974744551. The cubic root of 1096832 is about 103.1288173671.

The spelling of 1096832 in words is "one million, ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 41 44 64 76 82 88 128 152 164 176 209 304 328 352 418 451 608 656 704 779 836 902 1216 1312 1408 1558 1672 1804 2432 2624 3116 3344 3608 5248 6232 6688 7216 8569 12464 13376 14432 17138 24928 26752 28864 34276 49856 57728 68552 99712 137104 274208 548416 1096832