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142046784 = 2634114753
BaseRepresentation
bin10000111011101…
…11011001000000
3100220021201120000
420131313121000
5242330444114
622032320000
73343243365
oct1035673100
9326251500
10142046784
11731aa940
123b6a3000
1323575b69
1414c1846c
15c70ce09
hex8777640

142046784 has 280 divisors, whose sum is σ = 477975168. Its totient is φ = 41333760.

The previous prime is 142046783. The next prime is 142046803. The reversal of 142046784 is 487640241.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142046783) 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 39 ways as a sum of consecutive naturals, for example, 2680102 + ... + 2680154.

Almost surely, 2142046784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142046784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238987584).

142046784 is an abundant number, since it is smaller than the sum of its proper divisors (335928384).

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

142046784 is a wasteful number, since it uses less digits than its factorization.

142046784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 142046784 is about 11918.3381391870. The cubic root of 142046784 is about 521.7676333994.

The spelling of 142046784 in words is "one hundred forty-two million, forty-six thousand, seven hundred eighty-four".