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144541020 = 223513185309
BaseRepresentation
bin10001001110110…
…00010101011100
3101001222110000010
420213120111130
5244000303040
622202003220
73403402251
oct1047302534
9331873003
10144541020
1174653898
12404a6510
1323c3a240
14152a7428
15ca51e80
hex89d855c

144541020 has 48 divisors (see below), whose sum is σ = 435849120. Its totient is φ = 35579136.

The previous prime is 144540997. The next prime is 144541049. The reversal of 144541020 is 20145441.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 91875 + ... + 93434.

It is an arithmetic number, because the mean of its divisors is an integer number (9080190).

Almost surely, 2144541020 is an apocalyptic number.

144541020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144541020 is an abundant number, since it is smaller than the sum of its proper divisors (291308100).

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

144541020 is a wasteful number, since it uses less digits than its factorization.

144541020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185334 (or 185332 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 144541020 is about 12022.5213661694. The cubic root of 144541020 is about 524.8038813957.

Adding to 144541020 its reverse (20145441), we get a palindrome (164686461).

The spelling of 144541020 in words is "one hundred forty-four million, five hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 185309 370618 555927 741236 926545 1111854 1853090 2223708 2409017 2779635 3706180 4818034 5559270 7227051 9636068 11118540 12045085 14454102 24090170 28908204 36135255 48180340 72270510 144541020