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112140 = 22325789
BaseRepresentation
bin11011011000001100
312200211100
4123120030
512042030
62223100
7644640
oct333014
9180740
10112140
1177286
1254a90
133c072
142cc20
1523360
hex1b60c

112140 has 72 divisors (see below), whose sum is σ = 393120. Its totient is φ = 25344.

The previous prime is 112139. The next prime is 112153. The reversal of 112140 is 41211.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1216 + ... + 1304.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2112140 is an apocalyptic number.

112140 is a gapful number since it is divisible by the number (10) 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 112140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

112140 is an abundant number, since it is smaller than the sum of its proper divisors (280980).

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

112140 is a wasteful number, since it uses less digits than its factorization.

112140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 106 counting only the distinct ones).

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

The square root of 112140 is about 334.8731102970. The cubic root of 112140 is about 48.2229214396. Note that the first 3 decimals are identical.

Adding to 112140 its reverse (41211), we get a palindrome (153351).

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

The spelling of 112140 in words is "one hundred twelve thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 89 90 105 126 140 178 180 210 252 267 315 356 420 445 534 623 630 801 890 1068 1246 1260 1335 1602 1780 1869 2492 2670 3115 3204 3738 4005 5340 5607 6230 7476 8010 9345 11214 12460 16020 18690 22428 28035 37380 56070 112140