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141966 = 23311239
BaseRepresentation
bin100010101010001110
321012202000
4202222032
514020331
63013130
71130616
oct425216
9235660
10141966
1197730
126a1a6
134c806
1439a46
152c0e6
hex22a8e

141966 has 32 divisors (see below), whose sum is σ = 345600. Its totient is φ = 42840.

The previous prime is 141961. The next prime is 141971. The reversal of 141966 is 669141.

141966 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (141961) and next prime (141971).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141961) by changing a digit.

141966 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, 475 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2141966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

141966 is an abundant number, since it is smaller than the sum of its proper divisors (203634).

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

141966 is a wasteful number, since it uses less digits than its factorization.

141966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 141966 is about 376.7837576117. The cubic root of 141966 is about 52.1668702450.

It can be divided in two parts, 1419 and 66, that added together give a triangular number (1485 = T54).

The spelling of 141966 in words is "one hundred forty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 239 297 478 594 717 1434 2151 2629 4302 5258 6453 7887 12906 15774 23661 47322 70983 141966