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142436160 = 26325192137
BaseRepresentation
bin10000111110101…
…10011101000000
3100221000111200100
420133112131000
5242430424120
622044522400
73346454526
oct1037263500
9327014610
10142436160
1173446439
123b850400
1323681169
1414cba316
15c788490
hex87d6740

142436160 has 252 divisors, whose sum is σ = 520837668. Its totient is φ = 35721216.

The previous prime is 142436143. The next prime is 142436221. The reversal of 142436160 is 61634241.

142436160 is a `hidden beast` number, since 1 + 4 + 2 + 43 + 616 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67371264 + 75064896 = 8208^2 + 8664^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1039612 + ... + 1039748.

Almost surely, 2142436160 is an apocalyptic number.

142436160 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 142436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260418834).

142436160 is an abundant number, since it is smaller than the sum of its proper divisors (378401508).

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

142436160 is a wasteful number, since it uses less digits than its factorization.

142436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 142436160 is about 11934.6621234118. The cubic root of 142436160 is about 522.2439516804.

The spelling of 142436160 in words is "one hundred forty-two million, four hundred thirty-six thousand, one hundred sixty".