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1094016 = 27371137
BaseRepresentation
bin100001011000110000000
32001120201010
410023012000
5240002031
635240520
712204360
oct4130600
92046633
101094016
11687a50
12449140
132c3c61
142069a0
15169246
hex10b180

1094016 has 128 divisors (see below), whose sum is σ = 3720960. Its totient is φ = 276480.

The previous prime is 1094011. The next prime is 1094029. The reversal of 1094016 is 6104901.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 1093983 and 1094001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1094011) 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, 29550 + ... + 29586.

It is an arithmetic number, because the mean of its divisors is an integer number (29070).

21094016 is an apocalyptic number.

1094016 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 1094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860480).

1094016 is an abundant number, since it is smaller than the sum of its proper divisors (2626944).

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

1094016 is a wasteful number, since it uses less digits than its factorization.

1094016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 60 counting only the distinct ones).

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

The square root of 1094016 is about 1045.9521977605. The cubic root of 1094016 is about 103.0404842897.

Adding to 1094016 its reverse (6104901), we get a palindrome (7198917).

The spelling of 1094016 in words is "one million, ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 37 42 44 48 56 64 66 74 77 84 88 96 111 112 128 132 148 154 168 176 192 222 224 231 259 264 296 308 336 352 384 407 444 448 462 518 528 592 616 672 704 777 814 888 896 924 1036 1056 1184 1221 1232 1344 1408 1554 1628 1776 1848 2072 2112 2368 2442 2464 2688 2849 3108 3256 3552 3696 4144 4224 4736 4884 4928 5698 6216 6512 7104 7392 8288 8547 9768 9856 11396 12432 13024 14208 14784 16576 17094 19536 22792 24864 26048 29568 33152 34188 39072 45584 49728 52096 68376 78144 91168 99456 136752 156288 182336 273504 364672 547008 1094016