Search a number
-
+
141328782 = 23271816197
BaseRepresentation
bin10000110110010…
…00000110001110
3100211221020122100
420123020012032
5242140010112
622005055530
73334163160
oct1033100616
9324836570
10141328782
117285a451
123b3b75a6
13233840ca
1414aac930
15c61a2dc
hex86c818e

141328782 has 48 divisors (see below), whose sum is σ = 351947232. Its totient is φ = 40150080.

The previous prime is 141328771. The next prime is 141328787. The reversal of 141328782 is 287823141.

141328782 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141328787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19708 + ... + 25904.

It is an arithmetic number, because the mean of its divisors is an integer number (7332234).

Almost surely, 2141328782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141328782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175973616).

141328782 is an abundant number, since it is smaller than the sum of its proper divisors (210618450).

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

141328782 is a wasteful number, since it uses less digits than its factorization.

141328782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6393 (or 6390 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 141328782 is about 11888.1782456355. The cubic root of 141328782 is about 520.8870240089.

The spelling of 141328782 in words is "one hundred forty-one million, three hundred twenty-eight thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 181 362 543 1086 1267 1629 2534 3258 3801 6197 7602 11403 12394 18591 22806 37182 43379 55773 86758 111546 130137 260274 390411 780822 1121657 2243314 3364971 6729942 7851599 10094913 15703198 20189826 23554797 47109594 70664391 141328782