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1083282420 = 2235119716921
BaseRepresentation
bin100000010010001…
…1001001111110100
32210111101110010010
41000210121033310
54204310014140
6255254300220
735562514533
oct10044311764
92714343103
101083282420
11506537130
12262957670
1314357961c
14a3c2a31a
1565182880
hex409193f4

1083282420 has 96 divisors (see below), whose sum is σ = 3343245696. Its totient is φ = 259891200.

The previous prime is 1083282419. The next prime is 1083282437. The reversal of 1083282420 is 242823801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 55560 + ... + 72480.

It is an arithmetic number, because the mean of its divisors is an integer number (34825476).

Almost surely, 21083282420 is an apocalyptic number.

1083282420 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 1083282420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671622848).

1083282420 is an abundant number, since it is smaller than the sum of its proper divisors (2259963276).

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

1083282420 is a wasteful number, since it uses less digits than its factorization.

1083282420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17041 (or 17039 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1083282420 is about 32913.2559920771. The cubic root of 1083282420 is about 1027.0239351324.

The spelling of 1083282420 in words is "one billion, eighty-three million, two hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 194 220 291 330 388 485 582 660 970 1067 1164 1455 1940 2134 2910 3201 4268 5335 5820 6402 10670 12804 16005 16921 21340 32010 33842 50763 64020 67684 84605 101526 169210 186131 203052 253815 338420 372262 507630 558393 744524 930655 1015260 1116786 1641337 1861310 2233572 2791965 3282674 3722620 4924011 5583930 6565348 8206685 9848022 11167860 16413370 18054707 19696044 24620055 32826740 36109414 49240110 54164121 72218828 90273535 98480220 108328242 180547070 216656484 270820605 361094140 541641210 1083282420