Search a number
-
+
142740000 = 2532541361
BaseRepresentation
bin10001000001000…
…00101000100000
3100221120221110200
420200200220200
5243020140000
622055225200
73352161414
oct1040405040
9327527420
10142740000
1173633747
123b978200
1323759550
1414d58d44
15c7e8500
hex8820a20

142740000 has 360 divisors, whose sum is σ = 555206652. Its totient is φ = 34560000.

The previous prime is 142739977. The next prime is 142740011. The reversal of 142740000 is 47241.

It is a happy number.

142740000 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 10 ways, for example, as 70761744 + 71978256 = 8412^2 + 8484^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2339970 + ... + 2340030.

Almost surely, 2142740000 is an apocalyptic number.

142740000 is a gapful number since it is divisible by the number (10) 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 142740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277603326).

142740000 is an abundant number, since it is smaller than the sum of its proper divisors (412466652).

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

142740000 is a wasteful number, since it uses less digits than its factorization.

142740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 142740000 is about 11947.3846510439. The cubic root of 142740000 is about 522.6150323257.

Adding to 142740000 its reverse (47241), we get a palindrome (142787241).

The spelling of 142740000 in words is "one hundred forty-two million, seven hundred forty thousand".