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142428096 = 26323741163
BaseRepresentation
bin10000111110101…
…00011111000000
3100221000002121200
420133110133000
5242430144341
622044421200
73346422156
oct1037243700
9327002550
10142428096
1173440378
123b847800
132367a5a5
1414cb73d6
15c785db6
hex87d47c0

142428096 has 168 divisors, whose sum is σ = 432139344. Its totient is φ = 44789760.

The previous prime is 142428061. The next prime is 142428101. The reversal of 142428096 is 690824241.

142428096 is a `hidden beast` number, since 142 + 428 + 0 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 142428096.

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 23 ways as a sum of consecutive naturals, for example, 873711 + ... + 873873.

It is an arithmetic number, because the mean of its divisors is an integer number (2572258).

Almost surely, 2142428096 is an apocalyptic number.

142428096 is a gapful number since it is divisible by the number (16) 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 142428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216069672).

142428096 is an abundant number, since it is smaller than the sum of its proper divisors (289711248).

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

142428096 is a wasteful number, since it uses less digits than its factorization.

142428096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 142428096 is about 11934.3242791538. The cubic root of 142428096 is about 522.2340959090.

The spelling of 142428096 in words is "one hundred forty-two million, four hundred twenty-eight thousand, ninety-six".