Search a number
-
+
142144020 = 22325789689
BaseRepresentation
bin10000111100011…
…11001000010100
3100220110122221100
420132033020110
5242342102040
622034350100
73344130024
oct1036171024
9326418840
10142144020
11732669a7
123b72b330
13235ab1b5
1414c41a84
15c72bb30
hex878f214

142144020 has 36 divisors (see below), whose sum is σ = 431170740. Its totient is φ = 37905024.

The previous prime is 142144003. The next prime is 142144031. The reversal of 142144020 is 20441241.

142144020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 99920016 + 42224004 = 9996^2 + 6498^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 142143984 and 142144002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394665 + ... + 395024.

It is an arithmetic number, because the mean of its divisors is an integer number (11976965).

Almost surely, 2142144020 is an apocalyptic number.

142144020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142144020 is an abundant number, since it is smaller than the sum of its proper divisors (289026720).

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

142144020 is a wasteful number, since it uses less digits than its factorization.

142144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789704 (or 789699 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 142144020 is about 11922.4167013236. The cubic root of 142144020 is about 521.8866623184.

Adding to 142144020 its reverse (20441241), we get a palindrome (162585261).

The spelling of 142144020 in words is "one hundred forty-two million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 789689 1579378 2369067 3158756 3948445 4738134 7107201 7896890 9476268 11845335 14214402 15793780 23690670 28428804 35536005 47381340 71072010 142144020