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146052 = 22324057
BaseRepresentation
bin100011101010000100
321102100100
4203222010
514133202
63044100
71145544
oct435204
9242310
10146052
119a805
1270630
135162a
143b324
152d41c
hex23a84

146052 has 18 divisors (see below), whose sum is σ = 369278. Its totient is φ = 48672.

The previous prime is 146051. The next prime is 146057. The reversal of 146052 is 250641.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 125316 + 20736 = 354^2 + 144^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (146051) 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 5 ways as a sum of consecutive naturals, for example, 1993 + ... + 2064.

2146052 is an apocalyptic number.

146052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146052 is an abundant number, since it is smaller than the sum of its proper divisors (223226).

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

146052 is a wasteful number, since it uses less digits than its factorization.

146052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 146052 is about 382.1675025431. The cubic root of 146052 is about 52.6626249814.

Adding to 146052 its sum of digits (18), we get a triangular number (146070 = T540).

Adding to 146052 its reverse (250641), we get a palindrome (396693).

The spelling of 146052 in words is "one hundred forty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 4057 8114 12171 16228 24342 36513 48684 73026 146052