Search a number
-
+
142444020 = 223517359389
BaseRepresentation
bin10000111110110…
…00010111110100
3100221000220110110
420133120113310
5242431202040
622045023020
73346516455
oct1037302764
9327026413
10142444020
1173451334
123b854a70
1323684904
1414cbd12c
15c78a980
hex87d85f4

142444020 has 96 divisors (see below), whose sum is σ = 424569600. Its totient is φ = 35559424.

The previous prime is 142443989. The next prime is 142444021. The reversal of 142444020 is 20444241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142444021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365986 + ... + 366374.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2142444020 is an apocalyptic number.

142444020 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 142444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

142444020 is an abundant number, since it is smaller than the sum of its proper divisors (282125580).

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

142444020 is a wasteful number, since it uses less digits than its factorization.

142444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 142444020 is about 11934.9914118109. The cubic root of 142444020 is about 522.2535577663.

Adding to 142444020 its reverse (20444241), we get a palindrome (162888261).

The spelling of 142444020 in words is "one hundred forty-two million, four hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 359 389 510 718 778 1020 1077 1167 1436 1556 1795 1945 2154 2334 3590 3890 4308 4668 5385 5835 6103 6613 7180 7780 10770 11670 12206 13226 18309 19839 21540 23340 24412 26452 30515 33065 36618 39678 61030 66130 73236 79356 91545 99195 122060 132260 139651 183090 198390 279302 366180 396780 418953 558604 698255 837906 1396510 1675812 2094765 2374067 2793020 4189530 4748134 7122201 8379060 9496268 11870335 14244402 23740670 28488804 35611005 47481340 71222010 142444020