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1388112 = 243112239
BaseRepresentation
bin101010010111001010000
32121112010120
411102321100
5323404422
645430240
714540655
oct5227120
92545116
101388112
11868a00
1256b380
13397a8b
14281c2c
151c645c
hex152e50

1388112 has 60 divisors (see below), whose sum is σ = 3958080. Its totient is φ = 418880.

The previous prime is 1388081. The next prime is 1388113. The reversal of 1388112 is 2118831.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (1388113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5689 + ... + 5927.

It is an arithmetic number, because the mean of its divisors is an integer number (65968).

21388112 is an apocalyptic number.

1388112 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 1388112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979040).

1388112 is an abundant number, since it is smaller than the sum of its proper divisors (2569968).

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

1388112 is a wasteful number, since it uses less digits than its factorization.

1388112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

The square root of 1388112 is about 1178.1816498316. The cubic root of 1388112 is about 111.5513514662.

The spelling of 1388112 in words is "one million, three hundred eighty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 239 242 264 363 478 484 528 717 726 956 968 1434 1452 1912 1936 2629 2868 2904 3824 5258 5736 5808 7887 10516 11472 15774 21032 28919 31548 42064 57838 63096 86757 115676 126192 173514 231352 347028 462704 694056 1388112