Search a number
-
+
142427040 = 25357192397
BaseRepresentation
bin10000111110101…
…00001110100000
3100221000001011120
420133110032200
5242430131130
622044412240
73346416120
oct1037241640
9327001146
10142427040
117343a5a8
123b847080
1323679c72
1414cb6c80
15c785910
hex87d43a0

142427040 has 384 divisors, whose sum is σ = 568995840. Its totient is φ = 29196288.

The previous prime is 142427039. The next prime is 142427041. The reversal of 142427040 is 40724241.

It is an interprime number because it is at equal distance from previous prime (142427039) and next prime (142427041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142427040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142427041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1468272 + ... + 1468368.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 2142427040 is an apocalyptic number.

142427040 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 142427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284497920).

142427040 is an abundant number, since it is smaller than the sum of its proper divisors (426568800).

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

142427040 is a wasteful number, since it uses less digits than its factorization.

142427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 142427040 is about 11934.2800369356. The cubic root of 142427040 is about 522.2328052447.

The spelling of 142427040 in words is "one hundred forty-two million, four hundred twenty-seven thousand, forty".