Search a number
-
+
32141214 = 2327534813
BaseRepresentation
bin111101010011…
…0111110011110
32020110221110100
41322212332132
531212004324
63104521530
7540124110
oct172467636
966427410
1032141214
1117163196
12a9202a6
136874791
1443a93b0
152c4d4c9
hex1ea6f9e

32141214 has 48 divisors (see below), whose sum is σ = 81106272. Its totient is φ = 9008064.

The previous prime is 32141209. The next prime is 32141227. The reversal of 32141214 is 41214123.

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

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 4272 + ... + 9084.

It is an arithmetic number, because the mean of its divisors is an integer number (1689714).

Almost surely, 232141214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32141214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40553136).

32141214 is an abundant number, since it is smaller than the sum of its proper divisors (48965058).

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

32141214 is a wasteful number, since it uses less digits than its factorization.

32141214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881 (or 4878 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 32141214 is about 5669.3221817074. The cubic root of 32141214 is about 317.9465318909.

Adding to 32141214 its reverse (41214123), we get a palindrome (73355337).

It can be divided in two parts, 32 and 141214, that added together give a triangular number (141246 = T531).

The spelling of 32141214 in words is "thirty-two million, one hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 742 954 1113 2226 3339 4813 6678 9626 14439 28878 33691 43317 67382 86634 101073 202146 255089 303219 510178 606438 765267 1530534 1785623 2295801 3571246 4591602 5356869 10713738 16070607 32141214