Search a number
-
+
144560286 = 232133831613
BaseRepresentation
bin10001001110111…
…01000010011110
3101002000102102200
420213131002132
5244001412121
622202232330
73403512363
oct1047350236
9332012380
10144560286
1174667312
12404b56a6
1323c45c40
14152b046a
15ca57a26
hex89dd09e

144560286 has 48 divisors (see below), whose sum is σ = 338397696. Its totient is φ = 44336448.

The previous prime is 144560279. The next prime is 144560287. The reversal of 144560286 is 682065441.

144560286 is a `hidden beast` number, since 1 + 4 + 45 + 602 + 8 + 6 = 666.

144560286 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144560286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144560287) 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, 88816 + ... + 90428.

It is an arithmetic number, because the mean of its divisors is an integer number (7049952).

Almost surely, 2144560286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144560286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169198848).

144560286 is an abundant number, since it is smaller than the sum of its proper divisors (193837410).

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

144560286 is a wasteful number, since it uses less digits than its factorization.

144560286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 144560286 is about 12023.3225857082. The cubic root of 144560286 is about 524.8271975505.

The spelling of 144560286 in words is "one hundred forty-four million, five hundred sixty thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 383 766 1149 1613 2298 3226 3447 4839 4979 6894 9678 9958 14517 14937 20969 29034 29874 41938 44811 62907 89622 125814 188721 377442 617779 1235558 1853337 3706674 5560011 8031127 11120022 16062254 24093381 48186762 72280143 144560286