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142324900 = 225211932
BaseRepresentation
bin10000111101110…
…11010010100100
3100220210212001121
420132323102210
5242413344100
622042303324
73345512254
oct1036732244
9326725047
10142324900
117337a893
123b7b7b44
1323642623
1414c8b964
15c76551a
hex87bb4a4

142324900 has 27 divisors (see below), whose sum is σ = 309104131. Its totient is φ = 56882240.

The previous prime is 142324879. The next prime is 142324907. The reversal of 142324900 is 9423241.

The square root of 142324900 is 11930.

It is a perfect power (a square), and thus also a powerful number.

142324900 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2328676 + 139996224 = 1526^2 + 11832^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142324907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 118704 + ... + 119896.

Almost surely, 2142324900 is an apocalyptic number.

142324900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142324900 is the 11930-th square number.

It is an amenable number.

142324900 is an abundant number, since it is smaller than the sum of its proper divisors (166779231).

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

142324900 is an equidigital number, since it uses as much as digits as its factorization.

142324900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The cubic root of 142324900 is about 522.1079375352.

Multiplying 142324900 by its sum of digits (25), we get a square (3558122500 = 596502).

142324900 divided by its sum of digits (25) gives a square (5692996 = 23862).

The spelling of 142324900 in words is "one hundred forty-two million, three hundred twenty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1193 2386 4772 5965 11930 23860 29825 59650 119300 1423249 2846498 5692996 7116245 14232490 28464980 35581225 71162450 142324900