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2103730720 = 255721320641
BaseRepresentation
bin111110101100100…
…0110001000100000
312102121112121000121
41331121012020200
513302023340340
6544430130024
7103063262500
oct17531061040
95377477017
102103730720
1198a557033
124a8650914
13276ac5ca0
1415d57ba00
15c4a5294a
hex7d646220

2103730720 has 144 divisors (see below), whose sum is σ = 6226535448. Its totient is φ = 665763840.

The previous prime is 2103730709. The next prime is 2103730721. The reversal of 2103730720 is 270373012.

It can be written as a sum of positive squares in 4 ways, for example, as 919544976 + 1184185744 = 30324^2 + 34412^2 .

It is not an unprimeable number, because it can be changed into a prime (2103730721) 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 23 ways as a sum of consecutive naturals, for example, 91600 + ... + 112240.

Almost surely, 22103730720 is an apocalyptic number.

2103730720 is a gapful number since it is divisible by the number (20) 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 2103730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113267724).

2103730720 is an abundant number, since it is smaller than the sum of its proper divisors (4122804728).

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

2103730720 is a wasteful number, since it uses less digits than its factorization.

2103730720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20683 (or 20668 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 2103730720 is about 45866.4443793063. Note that the first 3 decimals coincide. The cubic root of 2103730720 is about 1281.3370468879.

The spelling of 2103730720 in words is "two billion, one hundred three million, seven hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 65 70 80 91 98 104 112 130 140 160 182 196 208 224 245 260 280 364 392 416 455 490 520 560 637 728 784 910 980 1040 1120 1274 1456 1568 1820 1960 2080 2548 2912 3185 3640 3920 5096 6370 7280 7840 10192 12740 14560 20384 20641 25480 41282 50960 82564 101920 103205 144487 165128 206410 268333 288974 330256 412820 536666 577948 660512 722435 825640 1011409 1073332 1155896 1341665 1444870 1651280 1878331 2022818 2146664 2311792 2683330 2889740 3302560 3756662 4045636 4293328 4623584 5057045 5366660 5779480 7513324 8091272 8586656 9391655 10114090 10733320 11558960 13148317 15026648 16182544 18783310 20228180 21466640 23117920 26296634 30053296 32365088 37566620 40456360 42933280 52593268 60106592 65741585 75133240 80912720 105186536 131483170 150266480 161825440 210373072 262966340 300532960 420746144 525932680 1051865360 2103730720