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142860960 = 253251129311
BaseRepresentation
bin10001000001111…
…10001010100000
3100221211002101200
420200332022200
5243033022320
622102001200
73353204154
oct1040761240
9327732350
10142860960
1173706610
123ba16200
132379c618
1414d8b064
15c81e290
hex883e2a0

142860960 has 288 divisors, whose sum is σ = 551940480. Its totient is φ = 33331200.

The previous prime is 142860937. The next prime is 142860961. The reversal of 142860960 is 69068241.

142860960 is a `hidden beast` number, since 1 + 42 + 8 + 609 + 6 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142860961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459205 + ... + 459515.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 2142860960 is an apocalyptic number.

142860960 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 142860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275970240).

142860960 is an abundant number, since it is smaller than the sum of its proper divisors (409079520).

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

142860960 is a wasteful number, since it uses less digits than its factorization.

142860960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 142860960 is about 11952.4457748195. The cubic root of 142860960 is about 522.7626145641.

The spelling of 142860960 in words is "one hundred forty-two million, eight hundred sixty thousand, nine hundred sixty".