Search a number
-
+
142464780 = 223256711813
BaseRepresentation
bin10000111110111…
…01011100001100
3100221001221221100
420133131130030
5242432333110
622045303100
73346634133
oct1037353414
9327057840
10142464780
1173465997
123b864a90
13236911b3
1414cc691a
15c791bc0
hex87dd70c

142464780 has 72 divisors (see below), whose sum is σ = 438630192. Its totient is φ = 37420416.

The previous prime is 142464779. The next prime is 142464787. The reversal of 142464780 is 87464241.

142464780 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 647 + 8 + 0 = 666.

142464780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (142464787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6154 + ... + 17966.

It is an arithmetic number, because the mean of its divisors is an integer number (6092086).

Almost surely, 2142464780 is an apocalyptic number.

142464780 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 142464780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219315096).

142464780 is an abundant number, since it is smaller than the sum of its proper divisors (296165412).

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

142464780 is a wasteful number, since it uses less digits than its factorization.

142464780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11895 (or 11890 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 142464780 is about 11935.8610916850. The cubic root of 142464780 is about 522.2789278665.

The spelling of 142464780 in words is "one hundred forty-two million, four hundred sixty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 11813 12060 23626 35439 47252 59065 70878 106317 118130 141756 177195 212634 236260 354390 425268 531585 708780 791471 1063170 1582942 2126340 2374413 3165884 3957355 4748826 7123239 7914710 9497652 11872065 14246478 15829420 23744130 28492956 35616195 47488260 71232390 142464780