Search a number
-
+
144540750 = 23534392
BaseRepresentation
bin10001001110110…
…00010001001110
3101001222102122010
420213120101032
5244000301000
622202002050
73403401414
oct1047302116
9331872563
10144540750
1174653672
12404a6326
1323c3a093
14152a72b4
15ca51d50
hex89d844e

144540750 has 48 divisors (see below), whose sum is σ = 361597392. Its totient is φ = 38456400.

The previous prime is 144540743. The next prime is 144540751. The reversal of 144540750 is 57045441.

144540750 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144540751) 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, 329031 + ... + 329469.

It is an arithmetic number, because the mean of its divisors is an integer number (7533279).

Almost surely, 2144540750 is an apocalyptic number.

144540750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144540750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180798696).

144540750 is an abundant number, since it is smaller than the sum of its proper divisors (217056642).

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

144540750 is an frugal number, since it uses more digits than its factorization.

144540750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 144540750 is about 12022.5101372384. The cubic root of 144540750 is about 524.8035546208.

Multiplying 144540750 by its sum of digits (30), we get a square (4336222500 = 658502).

144540750 divided by its sum of digits (30) gives a square (4818025 = 21952).

It can be divided in two parts, 1445 and 40750, that added together give a triangular number (42195 = T290).

The spelling of 144540750 in words is "one hundred forty-four million, five hundred forty thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 439 750 878 1317 2195 2634 4390 6585 10975 13170 21950 32925 54875 65850 109750 164625 192721 329250 385442 578163 963605 1156326 1927210 2890815 4818025 5781630 9636050 14454075 24090125 28908150 48180250 72270375 144540750