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144322020 = 22335673989
BaseRepresentation
bin10001001101000…
…10110111100100
3101001120022121000
420212202313210
5243421301040
622153153300
73401500623
oct1046426744
9331508530
10144322020
11745142a7
12403bb830
1323b9165b
141524b6ba
15ca0c130
hex89a2de4

144322020 has 96 divisors (see below), whose sum is σ = 455817600. Its totient is φ = 37901952.

The previous prime is 144322001. The next prime is 144322037. The reversal of 144322020 is 20223441.

144322020 is a `hidden beast` number, since 1 + 443 + 220 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144321984 and 144322002.

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 31 ways as a sum of consecutive naturals, for example, 34186 + ... + 38174.

It is an arithmetic number, because the mean of its divisors is an integer number (4748100).

Almost surely, 2144322020 is an apocalyptic number.

144322020 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 144322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227908800).

144322020 is an abundant number, since it is smaller than the sum of its proper divisors (311495580).

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

144322020 is a wasteful number, since it uses less digits than its factorization.

144322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 144322020 is about 12013.4100071545. The cubic root of 144322020 is about 524.5386968250.

Adding to 144322020 its reverse (20223441), we get a palindrome (164545461).

The spelling of 144322020 in words is "one hundred forty-four million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 3015 3618 3989 4020 6030 7236 7978 9045 11967 12060 15956 18090 19945 23934 35901 36180 39890 47868 59835 71802 79780 107703 119670 143604 179505 215406 239340 267263 359010 430812 534526 538515 718020 801789 1069052 1077030 1336315 1603578 2154060 2405367 2672630 3207156 4008945 4810734 5345260 7216101 8017890 9621468 12026835 14432202 16035780 24053670 28864404 36080505 48107340 72161010 144322020