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144054060 = 223523472221
BaseRepresentation
bin10001001011000…
…01011100101100
3101001001201000120
420211201130230
5243334212220
622143324540
73366303453
oct1045413454
9331051016
10144054060
1174350a47
12402b0750
1323ac96b7
14151bbb9a
15c9a7a40
hex896172c

144054060 has 96 divisors (see below), whose sum is σ = 430036992. Its totient is φ = 35946240.

The previous prime is 144054011. The next prime is 144054077. The reversal of 144054060 is 60450441.

It is a self number, because there is not a number n which added to its sum of digits gives 144054060.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63750 + ... + 65970.

It is an arithmetic number, because the mean of its divisors is an integer number (4479552).

Almost surely, 2144054060 is an apocalyptic number.

144054060 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 144054060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215018496).

144054060 is an abundant number, since it is smaller than the sum of its proper divisors (285982932).

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

144054060 is a wasteful number, since it uses less digits than its factorization.

144054060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 144054060 is about 12002.2522886332. The cubic root of 144054060 is about 524.2138619687.

The spelling of 144054060 in words is "one hundred forty-four million, fifty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 47 60 69 92 94 115 138 141 188 230 235 276 282 345 460 470 564 690 705 940 1081 1380 1410 2162 2221 2820 3243 4324 4442 5405 6486 6663 8884 10810 11105 12972 13326 16215 21620 22210 26652 32430 33315 44420 51083 64860 66630 102166 104387 133260 153249 204332 208774 255415 306498 313161 417548 510830 521935 612996 626322 766245 1021660 1043870 1252644 1532490 1565805 2087740 2400901 3064980 3131610 4801802 6263220 7202703 9603604 12004505 14405406 24009010 28810812 36013515 48018020 72027030 144054060