Search a number
-
+
144135020 = 22523431727
BaseRepresentation
bin10001001011101…
…01001101101100
3101001012211002002
420211311031230
5243344310040
622145151432
73400061501
oct1045651554
9331184062
10144135020
11743a6857
124032b578
1323b274c3
14151dd4a8
15c9c1a15
hex897536c

144135020 has 48 divisors (see below), whose sum is σ = 317011968. Its totient is φ = 54943680.

The previous prime is 144134987. The next prime is 144135031. The reversal of 144135020 is 20531441.

144135020 is digitally balanced in base 2, 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 144134983 and 144135001.

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, 197897 + ... + 198623.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416).

Almost surely, 2144135020 is an apocalyptic number.

144135020 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 144135020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

144135020 is an abundant number, since it is smaller than the sum of its proper divisors (172876948).

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

144135020 is a wasteful number, since it uses less digits than its factorization.

144135020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 144135020 is about 12005.6245152012. The cubic root of 144135020 is about 524.3120482702.

Adding to 144135020 its reverse (20531441), we get a palindrome (164666461).

The spelling of 144135020 in words is "one hundred forty-four million, one hundred thirty-five thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 431 460 727 862 1454 1724 2155 2908 3635 4310 7270 8620 9913 14540 16721 19826 33442 39652 49565 66884 83605 99130 167210 198260 313337 334420 626674 1253348 1566685 3133370 6266740 7206751 14413502 28827004 36033755 72067510 144135020