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147112 = 2373771
BaseRepresentation
bin100011111010101000
321110210121
4203322220
514201422
63053024
71151620
oct437250
9243717
10147112
11a0589
1271174
1351c64
143b880
152d8c7
hex23ea8

147112 has 32 divisors (see below), whose sum is σ = 328320. Its totient is φ = 60480.

The previous prime is 147107. The next prime is 147137. The reversal of 147112 is 211741.

147112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

147112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2037 + ... + 2107.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2147112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164160).

147112 is an abundant number, since it is smaller than the sum of its proper divisors (181208).

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

147112 is a wasteful number, since it uses less digits than its factorization.

147112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its digits is 56, while the sum is 16.

The square root of 147112 is about 383.5518217920. The cubic root of 147112 is about 52.7897209865.

Adding to 147112 its reverse (211741), we get a palindrome (358853).

The spelling of 147112 in words is "one hundred forty-seven thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 28 37 56 71 74 142 148 259 284 296 497 518 568 994 1036 1988 2072 2627 3976 5254 10508 18389 21016 36778 73556 147112