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144480090 = 2354816003
BaseRepresentation
bin10001001110010…
…01011101011010
3101001212100102110
420213021131122
5243441330330
622200413150
73403026516
oct1047113532
9331770373
10144480090
1174612037
12404771b6
1323c185a1
141528d146
15ca3ddb0
hex89c975a

144480090 has 16 divisors (see below), whose sum is σ = 346752288. Its totient is φ = 38528016.

The previous prime is 144480053. The next prime is 144480097. The reversal of 144480090 is 90084441.

144480090 is digitally balanced in base 2, 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), and also a Moran number because the ratio is a prime number: 4816003 = 144480090 / (1 + 4 + 4 + 4 + 8 + 0 + 0 + 9 + 0).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144480097) 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, 2407972 + ... + 2408031.

It is an arithmetic number, because the mean of its divisors is an integer number (21672018).

Almost surely, 2144480090 is an apocalyptic number.

144480090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144480090 is an abundant number, since it is smaller than the sum of its proper divisors (202272198).

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

144480090 is a wasteful number, since it uses less digits than its factorization.

144480090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816013.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 144480090 is about 12019.9871048184. The cubic root of 144480090 is about 524.7301288728.

The spelling of 144480090 in words is "one hundred forty-four million, four hundred eighty thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 4816003 9632006 14448009 24080015 28896018 48160030 72240045 144480090