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300142080 = 2932571861
BaseRepresentation
bin10001111000111…
…100111000000000
3202220202210112100
4101320330320000
51103314021310
645441030400
710303110540
oct2170747000
9686683470
10300142080
11144471207
1284625400
134a24a684
142bc0d320
151b53aec0
hex11e3ce00

300142080 has 240 divisors, whose sum is σ = 1188611424. Its totient is φ = 68567040.

The previous prime is 300142079. The next prime is 300142097. The reversal of 300142080 is 80241003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160350 + ... + 162210.

Almost surely, 2300142080 is an apocalyptic number.

300142080 is a gapful number since it is divisible by the number (30) 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 300142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594305712).

300142080 is an abundant number, since it is smaller than the sum of its proper divisors (888469344).

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

300142080 is a wasteful number, since it uses less digits than its factorization.

300142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 300142080 is about 17324.6090864989. The cubic root of 300142080 is about 669.5386145514.

Adding to 300142080 its reverse (80241003), we get a palindrome (380383083).

The spelling of 300142080 in words is "three hundred million, one hundred forty-two thousand, eighty".