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144020380 = 225719291867
BaseRepresentation
bin10001001010110…
…01001110011100
3101000222222211011
420211121032130
5243332123010
622142505004
73366103330
oct1045311634
9330888734
10144020380
1174328709
1240295164
1323ab727a
14151ad7c0
15c99ca8a
hex895939c

144020380 has 96 divisors (see below), whose sum is σ = 376588800. Its totient is φ = 45142272.

The previous prime is 144020369. The next prime is 144020381. The reversal of 144020380 is 83020441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144020381) 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 31 ways as a sum of consecutive naturals, for example, 76207 + ... + 78073.

It is an arithmetic number, because the mean of its divisors is an integer number (3922800).

Almost surely, 2144020380 is an apocalyptic number.

144020380 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 144020380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188294400).

144020380 is an abundant number, since it is smaller than the sum of its proper divisors (232568420).

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

144020380 is a wasteful number, since it uses less digits than its factorization.

144020380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 144020380 is about 12000.8491366236. The cubic root of 144020380 is about 524.1730048557.

It can be divided in two parts, 144020 and 380, that added together give a square (144400 = 3802).

The spelling of 144020380 in words is "one hundred forty-four million, twenty thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 29 35 38 58 70 76 95 116 133 140 145 190 203 266 290 380 406 532 551 580 665 812 1015 1102 1330 1867 2030 2204 2660 2755 3734 3857 4060 5510 7468 7714 9335 11020 13069 15428 18670 19285 26138 35473 37340 38570 52276 54143 65345 70946 77140 108286 130690 141892 177365 216572 248311 261380 270715 354730 379001 496622 541430 709460 758002 993244 1028717 1082860 1241555 1516004 1895005 2057434 2483110 3790010 4114868 4966220 5143585 7201019 7580020 10287170 14402038 20574340 28804076 36005095 72010190 144020380