Search a number
-
+
144516020 = 22511656891
BaseRepresentation
bin10001001110100…
…10001110110100
3101001221011201012
420213102032310
5243444003040
622201251352
73403236335
oct1047221664
9331834635
10144516020
1174637030
1240493b58
1323c2ba4c
141529c28c
15ca49865
hex89d23b4

144516020 has 24 divisors (see below), whose sum is σ = 331073568. Its totient is φ = 52551200.

The previous prime is 144516013. The next prime is 144516041. The reversal of 144516020 is 20615441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328226 + ... + 328665.

It is an arithmetic number, because the mean of its divisors is an integer number (13794732).

Almost surely, 2144516020 is an apocalyptic number.

144516020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144516020 is an abundant number, since it is smaller than the sum of its proper divisors (186557548).

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

144516020 is a wasteful number, since it uses less digits than its factorization.

144516020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656911 (or 656909 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 144516020 is about 12021.4816058587. The cubic root of 144516020 is about 524.7736227339.

The spelling of 144516020 in words is "one hundred forty-four million, five hundred sixteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 656891 1313782 2627564 3284455 6568910 7225801 13137820 14451602 28903204 36129005 72258010 144516020