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144583020 = 223251734643
BaseRepresentation
bin10001001111000…
…10100101101100
3101002001120121200
420213202211230
5244003124040
622202525500
73403635561
oct1047424554
9332046550
10144583020
11746823aa
1240506890
1323c533aa
14152b8868
15ca5e630
hex89e296c

144583020 has 72 divisors (see below), whose sum is σ = 441198576. Its totient is φ = 38324352.

The previous prime is 144583007. The next prime is 144583031. The reversal of 144583020 is 20385441.

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 23 ways as a sum of consecutive naturals, for example, 28819 + ... + 33461.

It is an arithmetic number, because the mean of its divisors is an integer number (6127758).

Almost surely, 2144583020 is an apocalyptic number.

144583020 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 144583020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220599288).

144583020 is an abundant number, since it is smaller than the sum of its proper divisors (296615556).

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

144583020 is a wasteful number, since it uses less digits than its factorization.

144583020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 144583020 is about 12024.2679610860. The cubic root of 144583020 is about 524.8547080940.

It can be divided in two parts, 1445830 and 20, that added together give a triangular number (1445850 = T1700).

The spelling of 144583020 in words is "one hundred forty-four million, five hundred eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 2076 2595 3114 3460 4643 5190 6228 7785 9286 10380 13929 15570 18572 23215 27858 31140 41787 46430 55716 69645 83574 92860 139290 167148 208935 278580 417870 803239 835740 1606478 2409717 3212956 4016195 4819434 7229151 8032390 9638868 12048585 14458302 16064780 24097170 28916604 36145755 48194340 72291510 144583020