Search a number
-
+
142578400 = 2552178223
BaseRepresentation
bin10000111111110…
…01001011100000
3100221021201210111
420133321023200
5243000002100
622051541104
73350616316
oct1037711340
9327251714
10142578400
1173533298
123b8ba794
1323700b23
1414d160b6
15c7b56ba
hex87f92e0

142578400 has 36 divisors (see below), whose sum is σ = 348071472. Its totient is φ = 57031040.

The previous prime is 142578391. The next prime is 142578407. The reversal of 142578400 is 4875241.

142578400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142578407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88312 + ... + 89911.

It is an arithmetic number, because the mean of its divisors is an integer number (9668652).

Almost surely, 2142578400 is an apocalyptic number.

142578400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142578400 is an abundant number, since it is smaller than the sum of its proper divisors (205493072).

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

142578400 is a wasteful number, since it uses less digits than its factorization.

142578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178243 (or 178230 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 142578400 is about 11940.6197494100. The cubic root of 142578400 is about 522.4177354213.

The spelling of 142578400 in words is "one hundred forty-two million, five hundred seventy-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 178223 356446 712892 891115 1425784 1782230 2851568 3564460 4455575 5703136 7128920 8911150 14257840 17822300 28515680 35644600 71289200 142578400