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1244801040 = 243576711059
BaseRepresentation
bin100101000110010…
…0010100000010000
310012202022110000020
41022030202200100
510022132113130
6323304223440
742563430360
oct11214424020
93182273006
101244801040
1158972649a
122a8a6ab80
1316ab7c382
14bb4729a0
1574439e10
hex4a322810

1244801040 has 160 divisors (see below), whose sum is σ = 4476380160. Its totient is φ = 280253952.

The previous prime is 1244801011. The next prime is 1244801059. The reversal of 1244801040 is 401084421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1244801040.

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, 107031 + ... + 118089.

It is an arithmetic number, because the mean of its divisors is an integer number (27977376).

Almost surely, 21244801040 is an apocalyptic number.

1244801040 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 1244801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238190080).

1244801040 is an abundant number, since it is smaller than the sum of its proper divisors (3231579120).

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

1244801040 is a wasteful number, since it uses less digits than its factorization.

1244801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11149 (or 11143 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 1244801040 is about 35281.7380524259. The cubic root of 1244801040 is about 1075.7218270887.

Adding to 1244801040 its reverse (401084421), we get a palindrome (1645885461).

The spelling of 1244801040 in words is "one billion, two hundred forty-four million, eight hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 67 70 80 84 105 112 120 134 140 168 201 210 240 268 280 335 336 402 420 469 536 560 670 804 840 938 1005 1072 1340 1407 1608 1680 1876 2010 2345 2680 2814 3216 3752 4020 4690 5360 5628 7035 7504 8040 9380 11059 11256 14070 16080 18760 22118 22512 28140 33177 37520 44236 55295 56280 66354 77413 88472 110590 112560 132708 154826 165885 176944 221180 232239 265416 309652 331770 387065 442360 464478 530832 619304 663540 740953 774130 884720 928956 1161195 1238608 1327080 1481906 1548260 1857912 2222859 2322390 2654160 2963812 3096520 3704765 3715824 4445718 4644780 5186671 5927624 6193040 7409530 8891436 9289560 10373342 11114295 11855248 14819060 15560013 17782872 18579120 20746684 22228590 25933355 29638120 31120026 35565744 41493368 44457180 51866710 59276240 62240052 77800065 82986736 88914360 103733420 124480104 155600130 177828720 207466840 248960208 311200260 414933680 622400520 1244801040