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142068384 = 2533164431
BaseRepresentation
bin10000111011111…
…00101010100000
3100220022211012000
420131330222200
5242332142014
622033004000
73343363353
oct1035745240
9326284160
10142068384
1173215097
123b6b3600
1323582943
1414c2229a
15c714509
hex877caa0

142068384 has 48 divisors (see below), whose sum is σ = 414368640. Its totient is φ = 47355840.

The previous prime is 142068383. The next prime is 142068389. The reversal of 142068384 is 483860241.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (142068383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81352 + ... + 83079.

It is an arithmetic number, because the mean of its divisors is an integer number (8632680).

Almost surely, 2142068384 is an apocalyptic number.

It is an amenable number.

142068384 is an abundant number, since it is smaller than the sum of its proper divisors (272300256).

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

142068384 is a wasteful number, since it uses less digits than its factorization.

142068384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164450 (or 164436 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 142068384 is about 11919.2442713454. The cubic root of 142068384 is about 521.7940791692.

The spelling of 142068384 in words is "one hundred forty-two million, sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 164431 328862 493293 657724 986586 1315448 1479879 1973172 2630896 2959758 3946344 4439637 5261792 5919516 7892688 8879274 11839032 15785376 17758548 23678064 35517096 47356128 71034192 142068384