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1094112 = 253229131
BaseRepresentation
bin100001011000111100000
32001120211200
410023013200
5240002422
635241200
712204555
oct4130740
92046750
101094112
11688028
12449200
132c4006
14206a2c
151692ac
hex10b1e0

1094112 has 72 divisors (see below), whose sum is σ = 3243240. Its totient is φ = 349440.

The previous prime is 1094101. The next prime is 1094123. The reversal of 1094112 is 2114901.

It is an interprime number because it is at equal distance from previous prime (1094101) and next prime (1094123).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8287 + ... + 8417.

It is an arithmetic number, because the mean of its divisors is an integer number (45045).

21094112 is an apocalyptic number.

1094112 is a gapful number since it is divisible by the number (12) 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 1094112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621620).

1094112 is an abundant number, since it is smaller than the sum of its proper divisors (2149128).

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

1094112 is a wasteful number, since it uses less digits than its factorization.

1094112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1094112 is about 1045.9980879524. The cubic root of 1094112 is about 103.0434981388.

The spelling of 1094112 in words is "one million, ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 131 144 174 232 261 262 288 348 393 464 522 524 696 786 928 1044 1048 1179 1392 1572 2088 2096 2358 2784 3144 3799 4176 4192 4716 6288 7598 8352 9432 11397 12576 15196 18864 22794 30392 34191 37728 45588 60784 68382 91176 121568 136764 182352 273528 364704 547056 1094112