Search a number
-
+
142232104 = 23721073391
BaseRepresentation
bin10000111101001…
…00101000101000
3100220122010202201
420132210220220
5242402411404
622040305544
73344644600
oct1036445050
9326563681
10142232104
11733170a3
123b7722b4
132360c311
1414c65c00
15c747ca4
hex87a4a28

142232104 has 48 divisors (see below), whose sum is σ = 313217280. Its totient is φ = 60369120.

The previous prime is 142232087. The next prime is 142232113. The reversal of 142232104 is 401232241.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 40249 + ... + 43639.

It is an arithmetic number, because the mean of its divisors is an integer number (6525360).

Almost surely, 2142232104 is an apocalyptic number.

142232104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142232104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156608640).

142232104 is an abundant number, since it is smaller than the sum of its proper divisors (170985176).

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

142232104 is a wasteful number, since it uses less digits than its factorization.

142232104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 142232104 is about 11926.1101789309. The cubic root of 142232104 is about 521.9944412046.

Adding to 142232104 its reverse (401232241), we get a palindrome (543464345).

The spelling of 142232104 in words is "one hundred forty-two million, two hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 107 196 214 392 428 749 856 1498 2996 3391 5243 5992 6782 10486 13564 20972 23737 27128 41944 47474 94948 166159 189896 332318 362837 664636 725674 1329272 1451348 2539859 2902696 5079718 10159436 17779013 20318872 35558026 71116052 142232104