Search a number
-
+
146832 = 24371923
BaseRepresentation
bin100011110110010000
321110102020
4203312100
514144312
63051440
71151040
oct436620
9243366
10146832
11a0354
1270b80
1351aaa
143b720
152d78c
hex23d90

146832 has 80 divisors (see below), whose sum is σ = 476160. Its totient is φ = 38016.

The previous prime is 146819. The next prime is 146833. The reversal of 146832 is 238641.

Subtracting 146832 from its reverse (238641), we obtain a square (91809 = 3032).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is one of the 548 Lynch-Bell numbers.

It is not an unprimeable number, because it can be changed into a prime (146833) by changing a digit.

146832 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 15 ways as a sum of consecutive naturals, for example, 6373 + ... + 6395.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

2146832 is an apocalyptic number.

146832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238080).

146832 is an abundant number, since it is smaller than the sum of its proper divisors (329328).

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

146832 is a wasteful number, since it uses less digits than its factorization.

146832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 54 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 146832 is about 383.1866385980. The cubic root of 146832 is about 52.7562079499.

The spelling of 146832 in words is "one hundred forty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 23 24 28 38 42 46 48 56 57 69 76 84 92 112 114 133 138 152 161 168 184 228 266 276 304 322 336 368 399 437 456 483 532 552 644 798 874 912 966 1064 1104 1288 1311 1596 1748 1932 2128 2576 2622 3059 3192 3496 3864 5244 6118 6384 6992 7728 9177 10488 12236 18354 20976 24472 36708 48944 73416 146832