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1083420 = 2232513463
BaseRepresentation
bin100001000100000011100
32001001011200
410020200130
5234132140
635115500
712131442
oct4104034
92031150
101083420
1167aa98
12442b90
132bc1a0
14202b92
15166030
hex10881c

1083420 has 72 divisors (see below), whose sum is σ = 3546816. Its totient is φ = 266112.

The previous prime is 1083409. The next prime is 1083431. The reversal of 1083420 is 243801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1083409) and next prime (1083431).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 1 + 0 + 85 + 33 + 410 + 211 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 1083393 and 1083402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2109 + ... + 2571.

21083420 is an apocalyptic number.

1083420 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 1083420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773408).

1083420 is an abundant number, since it is smaller than the sum of its proper divisors (2463396).

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

1083420 is a wasteful number, since it uses less digits than its factorization.

1083420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1083420 is about 1040.8746322204. The cubic root of 1083420 is about 102.7067411629.

The spelling of 1083420 in words is "one million, eighty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 463 468 585 780 926 1170 1389 1852 2315 2340 2778 4167 4630 5556 6019 6945 8334 9260 12038 13890 16668 18057 20835 24076 27780 30095 36114 41670 54171 60190 72228 83340 90285 108342 120380 180570 216684 270855 361140 541710 1083420