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142120368 = 24321331279
BaseRepresentation
bin10000111100010…
…01010110110000
3100220102110111100
420132021112300
5242340322433
622034044400
73344001045
oct1036112660
9326373440
10142120368
1173250155
123b719700
13235a04c0
1414c371cc
15c724b13
hex87895b0

142120368 has 180 divisors, whose sum is σ = 448200480. Its totient is φ = 41783040.

The previous prime is 142120291. The next prime is 142120369. The reversal of 142120368 is 863021241.

It is not an unprimeable number, because it can be changed into a prime (142120369) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1798953 + ... + 1799031.

Almost surely, 2142120368 is an apocalyptic number.

142120368 is a gapful number since it is divisible by the number (18) 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 142120368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224100240).

142120368 is an abundant number, since it is smaller than the sum of its proper divisors (306080112).

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

142120368 is a wasteful number, since it uses less digits than its factorization.

142120368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 142120368 is about 11921.4247470678. The cubic root of 142120368 is about 521.8577143354.

The spelling of 142120368 in words is "one hundred forty-two million, one hundred twenty thousand, three hundred sixty-eight".