Search a number
-
+
144073460 = 22561118093
BaseRepresentation
bin10001001011001…
…10001011110100
3101001002200122002
420211212023310
5243340322320
622143554432
73366414146
oct1045461364
9331080562
10144073460
1174364583
12402bba18
1323b0548b
14151c4c96
15c9ad675
hex89662f4

144073460 has 24 divisors (see below), whose sum is σ = 307516776. Its totient is φ = 56684160.

The previous prime is 144073459. The next prime is 144073469. The reversal of 144073460 is 64370441.

It can be written as a sum of positive squares in 4 ways, for example, as 13337104 + 130736356 = 3652^2 + 11434^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144073469) by changing a digit.

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, 57827 + ... + 60266.

It is an arithmetic number, because the mean of its divisors is an integer number (12813199).

Almost surely, 2144073460 is an apocalyptic number.

144073460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144073460 is an abundant number, since it is smaller than the sum of its proper divisors (163443316).

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

144073460 is a wasteful number, since it uses less digits than its factorization.

144073460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118163 (or 118161 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 144073460 is about 12003.0604430703. The cubic root of 144073460 is about 524.2373931635.

The spelling of 144073460 in words is "one hundred forty-four million, seventy-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 118093 236186 472372 590465 1180930 2361860 7203673 14407346 28814692 36018365 72036730 144073460