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146132 = 22717307
BaseRepresentation
bin100011101011010100
321102110022
4203223110
514134012
63044312
71146020
oct435324
9242408
10146132
119a878
1270698
135168c
143b380
152d472
hex23ad4

146132 has 24 divisors (see below), whose sum is σ = 310464. Its totient is φ = 58752.

The previous prime is 146117. The next prime is 146141. The reversal of 146132 is 231641.

146132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1461322 = 42709122848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 146132.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 146132.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (12936).

2146132 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 146132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155232).

146132 is an abundant number, since it is smaller than the sum of its proper divisors (164332).

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

146132 is a wasteful number, since it uses less digits than its factorization.

146132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 146132 is about 382.2721543613. The cubic root of 146132 is about 52.6722385460.

Adding to 146132 its reverse (231641), we get a palindrome (377773).

The spelling of 146132 in words is "one hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 307 476 614 1228 2149 4298 5219 8596 10438 20876 36533 73066 146132