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144004260 = 223597109227
BaseRepresentation
bin10001001010101…
…01010010100100
3101000222011201010
420211111102210
5243331114020
622142302220
73366005331
oct1045252244
9330864633
10144004260
1174317594
1240287970
1323aacb2a
14151a7988
15c997de0
hex89554a4

144004260 has 96 divisors (see below), whose sum is σ = 412917120. Its totient is φ = 37490688.

The previous prime is 144004241. The next prime is 144004261. The reversal of 144004260 is 62400441.

It is not an unprimeable number, because it can be changed into a prime (144004261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634267 + ... + 634493.

It is an arithmetic number, because the mean of its divisors is an integer number (4301220).

Almost surely, 2144004260 is an apocalyptic number.

144004260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144004260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206458560).

144004260 is an abundant number, since it is smaller than the sum of its proper divisors (268912860).

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

144004260 is a wasteful number, since it uses less digits than its factorization.

144004260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144004260 is about 12000.1774986873. The cubic root of 144004260 is about 524.1534474752.

The spelling of 144004260 in words is "one hundred forty-four million, four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 109 194 218 227 291 327 388 436 454 485 545 582 654 681 908 970 1090 1135 1164 1308 1362 1455 1635 1940 2180 2270 2724 2910 3270 3405 4540 5820 6540 6810 10573 13620 21146 22019 24743 31719 42292 44038 49486 52865 63438 66057 74229 88076 98972 105730 110095 123715 126876 132114 148458 158595 211460 220190 247430 264228 296916 317190 330285 371145 440380 494860 634380 660570 742290 1321140 1484580 2400071 4800142 7200213 9600284 12000355 14400426 24000710 28800852 36001065 48001420 72002130 144004260