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144320020 = 22513555077
BaseRepresentation
bin10001001101000…
…10011000010100
3101001120012211221
420212202120110
5243421220040
622153140124
73401462035
oct1046423024
9331505757
10144320020
1174512849
12403ba644
1323b90780
141524aa8c
15ca0b74a
hex89a2614

144320020 has 24 divisors (see below), whose sum is σ = 326385864. Its totient is φ = 53287296.

The previous prime is 144319993. The next prime is 144320027. The reversal of 144320020 is 20023441.

It can be written as a sum of positive squares in 4 ways, for example, as 3090564 + 141229456 = 1758^2 + 11884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144319976 and 144320003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144320027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277279 + ... + 277798.

It is an arithmetic number, because the mean of its divisors is an integer number (13599411).

Almost surely, 2144320020 is an apocalyptic number.

144320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144320020 is an abundant number, since it is smaller than the sum of its proper divisors (182065844).

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

144320020 is a wasteful number, since it uses less digits than its factorization.

144320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555099 (or 555097 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 144320020 is about 12013.3267665539. The cubic root of 144320020 is about 524.5362738124.

Adding to 144320020 its reverse (20023441), we get a palindrome (164343461).

The spelling of 144320020 in words is "one hundred forty-four million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 555077 1110154 2220308 2775385 5550770 7216001 11101540 14432002 28864004 36080005 72160010 144320020