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1083245940 = 223357240939
BaseRepresentation
bin100000010010001…
…0000010101110100
32210111022121002000
41000210100111310
54204302332230
6255253415300
735562303300
oct10044202564
92714277060
101083245940
11506511787
1226293a530
13143565b3a
14a3c1ad00
1565176b60
hex40910574

1083245940 has 144 divisors (see below), whose sum is σ = 3920414400. Its totient is φ = 247593024.

The previous prime is 1083245939. The next prime is 1083245951. The reversal of 1083245940 is 495423801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1083245895 and 1083245904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5991 + ... + 46929.

It is an arithmetic number, because the mean of its divisors is an integer number (27225100).

Almost surely, 21083245940 is an apocalyptic number.

1083245940 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 1083245940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960207200).

1083245940 is an abundant number, since it is smaller than the sum of its proper divisors (2837168460).

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

1083245940 is a wasteful number, since it uses less digits than its factorization.

1083245940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40971 (or 40956 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1083245940 is about 32912.7018034071. The cubic root of 1083245940 is about 1027.0124065126.

The spelling of 1083245940 in words is "one billion, eighty-three million, two hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8820 13230 26460 40939 81878 122817 163756 204695 245634 286573 368451 409390 491268 573146 614085 736902 818780 859719 1105353 1146292 1228170 1432865 1473804 1719438 1842255 2006011 2210706 2456340 2579157 2865730 3438876 3684510 4012022 4298595 4421412 5158314 5526765 5731460 6018033 7369020 7737471 8024044 8597190 10030055 10316628 11053530 12036066 12895785 15474942 17194380 18054099 20060110 22107060 24072132 25791570 30090165 30949884 36108198 38687355 40120220 51583140 54162297 60180330 72216396 77374710 90270495 108324594 120360660 154749420 180540990 216649188 270811485 361081980 541622970 1083245940