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142500960 = 25325767211
BaseRepresentation
bin10000111111001…
…10010001100000
3100221010210120100
420133212101200
5242440012320
622050142400
73350144460
oct1037462140
9327123510
10142500960
1173490098
123b881a00
13236a47c4
1414cd5ba0
15c79c790
hex87e6460

142500960 has 288 divisors, whose sum is σ = 566721792. Its totient is φ = 31933440.

The previous prime is 142500959. The next prime is 142500977. The reversal of 142500960 is 69005241.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675255 + ... + 675465.

It is an arithmetic number, because the mean of its divisors is an integer number (1967784).

Almost surely, 2142500960 is an apocalyptic number.

142500960 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 142500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283360896).

142500960 is an abundant number, since it is smaller than the sum of its proper divisors (424220832).

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

142500960 is a wasteful number, since it uses less digits than its factorization.

142500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 142500960 is about 11937.3765962208. The cubic root of 142500960 is about 522.3231363421.

The spelling of 142500960 in words is "one hundred forty-two million, five hundred thousand, nine hundred sixty".