Search a number
-
+
11936142 = 23217192053
BaseRepresentation
bin101101100010…
…000110001110
3211110102022100
4231202012032
511023424032
61103455530
7203312151
oct55420616
924412270
1011936142
116812889
123bb75a6
13261bc0a
141829c98
1510ab97c
hexb6218e

11936142 has 48 divisors (see below), whose sum is σ = 28838160. Its totient is φ = 3545856.

The previous prime is 11936131. The next prime is 11936143. The reversal of 11936142 is 24163911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11936143) 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, 4788 + ... + 6840.

It is an arithmetic number, because the mean of its divisors is an integer number (600795).

Almost surely, 211936142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11936142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14419080).

11936142 is an abundant number, since it is smaller than the sum of its proper divisors (16902018).

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

11936142 is a wasteful number, since it uses less digits than its factorization.

11936142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2094 counting only the distinct ones).

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

The square root of 11936142 is about 3454.8722118191. The cubic root of 11936142 is about 228.5360195521.

The spelling of 11936142 in words is "eleven million, nine hundred thirty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1938 2053 2907 4106 5814 6159 12318 18477 34901 36954 39007 69802 78014 104703 117021 209406 234042 314109 351063 628218 663119 702126 1326238 1989357 3978714 5968071 11936142