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142578020 = 225133714821
BaseRepresentation
bin10000111111110…
…01000101100100
3100221021201021102
420133321011210
5242444444040
622051535232
73350615234
oct1037710544
9327251242
10142578020
1173532a82
123b8ba518
13237008c0
1414d15cc4
15c7b5515
hex87f9164

142578020 has 48 divisors (see below), whose sum is σ = 331182768. Its totient is φ = 51217920.

The previous prime is 142578013. The next prime is 142578047. The reversal of 142578020 is 20875241.

142578020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 682276 + 141895744 = 826^2 + 11912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2210 + ... + 17030.

It is an arithmetic number, because the mean of its divisors is an integer number (6899641).

Almost surely, 2142578020 is an apocalyptic number.

142578020 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 142578020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165591384).

142578020 is an abundant number, since it is smaller than the sum of its proper divisors (188604748).

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

142578020 is a wasteful number, since it uses less digits than its factorization.

142578020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14880 (or 14878 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 142578020 is about 11940.6038373275. The cubic root of 142578020 is about 522.4172713049.

It can be divided in two parts, 1425780 and 20, that multiplied together give a square (28515600 = 53402).

The spelling of 142578020 in words is "one hundred forty-two million, five hundred seventy-eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 14821 29642 59284 74105 148210 192673 296420 385346 548377 770692 963365 1096754 1926730 2193508 2741885 3853460 5483770 7128901 10967540 14257802 28515604 35644505 71289010 142578020