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1104096 = 25373153
BaseRepresentation
bin100001101100011100000
32002002112110
410031203200
5240312341
635355320
712245640
oct4154340
92062473
101104096
11694584
12452b40
132c8716
1420a520
1516c216
hex10d8e0

1104096 has 96 divisors (see below), whose sum is σ = 3483648. Its totient is φ = 299520.

The previous prime is 1104079. The next prime is 1104097. The reversal of 1104096 is 6904011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20806 + ... + 20858.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

21104096 is an apocalyptic number.

1104096 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 1104096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824).

1104096 is an abundant number, since it is smaller than the sum of its proper divisors (2379552).

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

1104096 is a wasteful number, since it uses less digits than its factorization.

1104096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1104096 is about 1050.7597251513. The cubic root of 1104096 is about 103.3559806991.

The spelling of 1104096 in words is "one million, one hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 53 56 62 84 93 96 106 112 124 159 168 186 212 217 224 248 318 336 371 372 424 434 496 636 651 672 742 744 848 868 992 1113 1272 1302 1484 1488 1643 1696 1736 2226 2544 2604 2968 2976 3286 3472 4452 4929 5088 5208 5936 6572 6944 8904 9858 10416 11501 11872 13144 17808 19716 20832 23002 26288 34503 35616 39432 46004 52576 69006 78864 92008 138012 157728 184016 276024 368032 552048 1104096