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141532146 = 23271915881
BaseRepresentation
bin10000110111110…
…01101111110010
3100212022120121100
420123321233302
5242213012041
622013305230
73336001110
oct1033715762
9325276540
10141532146
1172989218
123b495216
1323425842
1414b22ab0
15c65a6b6
hex86f9bf2

141532146 has 48 divisors (see below), whose sum is σ = 352355328. Its totient is φ = 40219200.

The previous prime is 141532109. The next prime is 141532147. The reversal of 141532146 is 641235141.

It is a happy number.

141532146 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (141532147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21126 + ... + 27006.

It is an arithmetic number, because the mean of its divisors is an integer number (7340736).

Almost surely, 2141532146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141532146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176177664).

141532146 is an abundant number, since it is smaller than the sum of its proper divisors (210823182).

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

141532146 is a wasteful number, since it uses less digits than its factorization.

141532146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087 (or 6084 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 141532146 is about 11896.7283738009. The cubic root of 141532146 is about 521.1367464384.

Adding to 141532146 its reverse (641235141), we get a palindrome (782767287).

The spelling of 141532146 in words is "one hundred forty-one million, five hundred thirty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 191 382 573 1146 1337 1719 2674 3438 4011 5881 8022 11762 12033 17643 24066 35286 41167 52929 82334 105858 123501 247002 370503 741006 1123271 2246542 3369813 6739626 7862897 10109439 15725794 20218878 23588691 47177382 70766073 141532146