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146232 = 2333677
BaseRepresentation
bin100011101100111000
321102121000
4203230320
514134412
63045000
71146222
oct435470
9242530
10146232
119a959
1270760
1351738
143b412
152d4dc
hex23b38

146232 has 32 divisors (see below), whose sum is σ = 406800. Its totient is φ = 48672.

The previous prime is 146221. The next prime is 146239. The reversal of 146232 is 232641.

It is a happy number.

146232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

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 146232.

It is not an unprimeable number, because it can be changed into a prime (146239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123 + ... + 554.

2146232 is an apocalyptic number.

146232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146232 is an abundant number, since it is smaller than the sum of its proper divisors (260568).

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

146232 is a wasteful number, since it uses less digits than its factorization.

146232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 682 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 146232 is about 382.4029288591. The cubic root of 146232 is about 52.6842505690.

Adding to 146232 its reverse (232641), we get a palindrome (378873).

It can be divided in two parts, 146 and 232, that added together give a triangular number (378 = T27).

The spelling of 146232 in words is "one hundred forty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 677 1354 2031 2708 4062 5416 6093 8124 12186 16248 18279 24372 36558 48744 73116 146232