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1238112 = 25331433
BaseRepresentation
bin100101110010001100000
32022220101000
410232101200
5304104422
642312000
713344441
oct4562140
92286330
101238112
11776237
124b8600
13344715
142432c8
15196cac
hex12e460

1238112 has 48 divisors (see below), whose sum is σ = 3613680. Its totient is φ = 412416.

The previous prime is 1238101. The next prime is 1238119. The reversal of 1238112 is 2118321.

It is a tau number, because it is divible by the number of its divisors (48).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148 + ... + 1580.

It is an arithmetic number, because the mean of its divisors is an integer number (75285).

21238112 is an apocalyptic number.

1238112 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 1238112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806840).

1238112 is an abundant number, since it is smaller than the sum of its proper divisors (2375568).

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

1238112 is a wasteful number, since it uses less digits than its factorization.

1238112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1438 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1238112 is about 1112.7048126075. The cubic root of 1238112 is about 107.3791539080.

The spelling of 1238112 in words is "one million, two hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1433 2866 4299 5732 8598 11464 12897 17196 22928 25794 34392 38691 45856 51588 68784 77382 103176 137568 154764 206352 309528 412704 619056 1238112