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1082320 = 24583163
BaseRepresentation
bin100001000001111010000
32000222122221
410020033100
5234113240
635110424
712125311
oct4101720
92028587
101082320
1167a188
12442414
132bb835
14202608
15165a4a
hex1083d0

1082320 has 40 divisors (see below), whose sum is σ = 2562336. Its totient is φ = 425088.

The previous prime is 1082317. The next prime is 1082321. The reversal of 1082320 is 232801.

1082320 = 552 + 562 + ... + 1502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1082294 and 1082303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6559 + ... + 6721.

21082320 is an apocalyptic number.

1082320 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 1082320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281168).

1082320 is an abundant number, since it is smaller than the sum of its proper divisors (1480016).

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

1082320 is a wasteful number, since it uses less digits than its factorization.

1082320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1082320 is about 1040.3460962584. The cubic root of 1082320 is about 102.6719698915.

The spelling of 1082320 in words is "one million, eighty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 163 166 326 332 415 652 664 815 830 1304 1328 1630 1660 2608 3260 3320 6520 6640 13040 13529 27058 54116 67645 108232 135290 216464 270580 541160 1082320