Search a number
-
+
144242320 = 2451803029
BaseRepresentation
bin10001001100011…
…11011010010000
3101001102021021011
420212033122100
5243411223240
622151340304
73401016355
oct1046173220
9331367234
10144242320
117446a432
1240381694
1323b642b1
141522a62c
15c9e36ea
hex898f690

144242320 has 20 divisors (see below), whose sum is σ = 335363580. Its totient is φ = 57696896.

The previous prime is 144242303. The next prime is 144242323. The reversal of 144242320 is 23242441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 107081104 = 6096^2 + 10348^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 144242291 and 144242300.

It is not an unprimeable number, because it can be changed into a prime (144242323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 901435 + ... + 901594.

It is an arithmetic number, because the mean of its divisors is an integer number (16768179).

Almost surely, 2144242320 is an apocalyptic number.

144242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144242320 is an abundant number, since it is smaller than the sum of its proper divisors (191121260).

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

144242320 is a wasteful number, since it uses less digits than its factorization.

144242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803042 (or 1803036 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 144242320 is about 12010.0924226252. The cubic root of 144242320 is about 524.4421224375.

Adding to 144242320 its reverse (23242441), we get a palindrome (167484761).

The spelling of 144242320 in words is "one hundred forty-four million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1803029 3606058 7212116 9015145 14424232 18030290 28848464 36060580 72121160 144242320