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142430020 = 22529376637
BaseRepresentation
bin10000111110101…
…00111101000100
3100221000012020221
420133110331010
5242430230040
622044434124
73346430605
oct1037247504
9327005227
10142430020
1173441867
123b848944
132367b425
1414cb7dac
15c78674a
hex87d4f44

142430020 has 48 divisors (see below), whose sum is σ = 317827440. Its totient is φ = 53512704.

The previous prime is 142430009. The next prime is 142430033. The reversal of 142430020 is 20034241.

142430020 is digitally balanced in base 2, because in such base 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 3755844 + 138674176 = 1938^2 + 11776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 142429976 and 142430003.

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, 18142 + ... + 24778.

It is an arithmetic number, because the mean of its divisors is an integer number (6621405).

Almost surely, 2142430020 is an apocalyptic number.

142430020 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 142430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158913720).

142430020 is an abundant number, since it is smaller than the sum of its proper divisors (175397420).

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

142430020 is a wasteful number, since it uses less digits than its factorization.

142430020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 142430020 is about 11934.4048867130. The cubic root of 142430020 is about 522.2364474438.

Adding to 142430020 its reverse (20034241), we get a palindrome (162464261).

The spelling of 142430020 in words is "one hundred forty-two million, four hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 580 740 1073 2146 4292 5365 6637 10730 13274 21460 26548 33185 66370 132740 192473 245569 384946 491138 769892 962365 982276 1227845 1924730 2455690 3849460 4911380 7121501 14243002 28486004 35607505 71215010 142430020