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142826040 = 233257192157
BaseRepresentation
bin10001000001101…
…01101000111000
3100221202022111100
420200311220320
5243030413130
622101131400
73353000310
oct1040655070
9327668440
10142826040
1173692355
123b9b9b60
1323789766
1414d7c440
15c813c60
hex8835a38

142826040 has 288 divisors, whose sum is σ = 563453280. Its totient is φ = 30730752.

The previous prime is 142826039. The next prime is 142826051. The reversal of 142826040 is 40628241.

142826040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 142825995 and 142826013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 909642 + ... + 909798.

It is an arithmetic number, because the mean of its divisors is an integer number (1956435).

Almost surely, 2142826040 is an apocalyptic number.

142826040 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 142826040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281726640).

142826040 is an abundant number, since it is smaller than the sum of its proper divisors (420627240).

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

142826040 is a wasteful number, since it uses less digits than its factorization.

142826040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 142826040 is about 11950.9848966518. The cubic root of 142826040 is about 522.7200175335.

The spelling of 142826040 in words is "one hundred forty-two million, eight hundred twenty-six thousand, forty".