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144391020 = 223537193337
BaseRepresentation
bin10001001101100…
…11101101101100
3101001200211020120
420212303231230
5243431003040
622154444540
73402206034
oct1046635554
9331624216
10144391020
1174561124
1240433750
1323bb6b97
14152688c4
15ca227d0
hex89b3b6c

144391020 has 96 divisors (see below), whose sum is σ = 418611648. Its totient is φ = 37158912.

The previous prime is 144391001. The next prime is 144391021. The reversal of 144391020 is 20193441.

It is not an unprimeable number, because it can be changed into a prime (144391021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428292 + ... + 428628.

It is an arithmetic number, because the mean of its divisors is an integer number (4360538).

Almost surely, 2144391020 is an apocalyptic number.

144391020 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 144391020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209305824).

144391020 is an abundant number, since it is smaller than the sum of its proper divisors (274220628).

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

144391020 is a wasteful number, since it uses less digits than its factorization.

144391020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 144391020 is about 12016.2814547596. The cubic root of 144391020 is about 524.6222770568.

The spelling of 144391020 in words is "one hundred forty-four million, three hundred ninety-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 193 222 337 370 386 444 555 579 674 740 772 965 1011 1110 1158 1348 1685 1930 2022 2220 2316 2895 3370 3860 4044 5055 5790 6740 7141 10110 11580 12469 14282 20220 21423 24938 28564 35705 37407 42846 49876 62345 65041 71410 74814 85692 107115 124690 130082 142820 149628 187035 195123 214230 249380 260164 325205 374070 390246 428460 650410 748140 780492 975615 1300820 1951230 2406517 3902460 4813034 7219551 9626068 12032585 14439102 24065170 28878204 36097755 48130340 72195510 144391020