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140112 = 24327139
BaseRepresentation
bin100010001101010000
321010012100
4202031100
513440422
63000400
71122330
oct421520
9233170
10140112
11962a5
1269100
134ba0b
14390c0
152b7ac
hex22350

140112 has 60 divisors (see below), whose sum is σ = 451360. Its totient is φ = 39744.

The previous prime is 140111. The next prime is 140123. The reversal of 140112 is 211041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 140094 and 140103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140111) 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, 939 + ... + 1077.

2140112 is an apocalyptic number.

140112 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 140112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225680).

140112 is an abundant number, since it is smaller than the sum of its proper divisors (311248).

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

140112 is a wasteful number, since it uses less digits than its factorization.

140112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 140112 is about 374.3153750516. The cubic root of 140112 is about 51.9387839786.

Adding to 140112 its reverse (211041), we get a palindrome (351153).

It can be divided in two parts, 140 and 112, that added together give a palindrome (252).

The spelling of 140112 in words is "one hundred forty thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 139 144 168 252 278 336 417 504 556 834 973 1008 1112 1251 1668 1946 2224 2502 2919 3336 3892 5004 5838 6672 7784 8757 10008 11676 15568 17514 20016 23352 35028 46704 70056 140112