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142025760 = 253251929179
BaseRepresentation
bin10000111011100…
…10010000100000
3100220020122201100
420131302100200
5242324311020
622032034400
73343125162
oct1035622040
9326218640
10142025760
1173196068
123b692a00
1323569416
1414c10932
15c706a90
hex8772420

142025760 has 288 divisors, whose sum is σ = 530712000. Its totient is φ = 34449408.

The previous prime is 142025747. The next prime is 142025797. The reversal of 142025760 is 67520241.

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, 793351 + ... + 793529.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 2142025760 is an apocalyptic number.

142025760 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 142025760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265356000).

142025760 is an abundant number, since it is smaller than the sum of its proper divisors (388686240).

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

142025760 is a wasteful number, since it uses less digits than its factorization.

142025760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 142025760 is about 11917.4561043874. The cubic root of 142025760 is about 521.7418902753.

The spelling of 142025760 in words is "one hundred forty-two million, twenty-five thousand, seven hundred sixty".