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146112 = 263761
BaseRepresentation
bin100011101011000000
321102102120
4203223000
514133422
63044240
71145661
oct435300
9242376
10146112
119a85a
1270680
1351675
143b368
152d45c
hex23ac0

146112 has 28 divisors (see below), whose sum is σ = 387096. Its totient is φ = 48640.

The previous prime is 146099. The next prime is 146117. The reversal of 146112 is 211641.

146112 = T33 + T34 + ... + T96.

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 junction number, because it is equal to n+sod(n) for n = 146091 and 146100.

It is not an unprimeable number, because it can be changed into a prime (146117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 189 + ... + 572.

2146112 is an apocalyptic number.

146112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146112 is an abundant number, since it is smaller than the sum of its proper divisors (240984).

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

146112 is an equidigital number, since it uses as much as digits as its factorization.

146112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 766 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 146112 is about 382.2459940928. The cubic root of 146112 is about 52.6698354838.

Adding to 146112 its reverse (211641), we get a palindrome (357753).

The spelling of 146112 in words is "one hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 761 1522 2283 3044 4566 6088 9132 12176 18264 24352 36528 48704 73056 146112