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1148112 = 243271767
BaseRepresentation
bin100011000010011010000
32011022220200
410120103100
5243214422
640335200
712521160
oct4302320
92138820
101148112
11714659
12474500
13312774
1421c5a0
1517a2ac
hex1184d0

1148112 has 120 divisors (see below), whose sum is σ = 3946176. Its totient is φ = 304128.

The previous prime is 1148111. The next prime is 1148167. The reversal of 1148112 is 2118411.

It is a super-2 number, since 2×11481122 = 2636322329088, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148111) 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 23 ways as a sum of consecutive naturals, for example, 17103 + ... + 17169.

21148112 is an apocalyptic number.

1148112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 1071×1072.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973088).

1148112 is an abundant number, since it is smaller than the sum of its proper divisors (2798064).

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

1148112 is a wasteful number, since it uses less digits than its factorization.

1148112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 1148112 is about 1071.4998833411. The cubic root of 1148112 is about 104.7115894813.

Subtracting 1148112 from its reverse (2118411), we obtain a cube (970299 = 993).

The spelling of 1148112 in words is "one million, one hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 67 68 72 84 102 112 119 126 134 136 144 153 168 201 204 238 252 268 272 306 336 357 402 408 469 476 504 536 603 612 714 804 816 938 952 1008 1071 1072 1139 1206 1224 1407 1428 1608 1876 1904 2142 2278 2412 2448 2814 2856 3216 3417 3752 4221 4284 4556 4824 5628 5712 6834 7504 7973 8442 8568 9112 9648 10251 11256 13668 15946 16884 17136 18224 20502 22512 23919 27336 31892 33768 41004 47838 54672 63784 67536 71757 82008 95676 127568 143514 164016 191352 287028 382704 574056 1148112