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142176384 = 27357653
BaseRepresentation
bin10000111100101…
…11000010000000
3100220112022100000
420132113002000
5242344121014
622035200000
73344323260
oct1036270200
9326468300
10142176384
1173289249
123b746000
13235bcb4c
1414c4d7a0
15c736509
hex8797080

142176384 has 192 divisors, whose sum is σ = 485634240. Its totient is φ = 40559616.

The previous prime is 142176341. The next prime is 142176401. The reversal of 142176384 is 483671241.

142176384 is a `hidden beast` number, since 1 + 4 + 2 + 17 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

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, 217402 + ... + 218054.

It is an arithmetic number, because the mean of its divisors is an integer number (2529345).

Almost surely, 2142176384 is an apocalyptic number.

142176384 is a gapful number since it is divisible by the number (14) 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 142176384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242817120).

142176384 is an abundant number, since it is smaller than the sum of its proper divisors (343457856).

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

142176384 is an frugal number, since it uses more digits than its factorization.

142176384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 665 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 142176384 is about 11923.7738992317. The cubic root of 142176384 is about 521.9262678261.

The spelling of 142176384 in words is "one hundred forty-two million, one hundred seventy-six thousand, three hundred eighty-four".