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1082520 = 233253197
BaseRepresentation
bin100001000010010011000
32000222221100
410020102120
5234120040
635111400
712126015
oct4102230
92028840
101082520
1167a34a
12442560
132bb95a
1420270c
15165b30
hex108498

1082520 has 96 divisors (see below), whose sum is σ = 3669120. Its totient is φ = 276480.

The previous prime is 1082491. The next prime is 1082527. The reversal of 1082520 is 252801.

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

It is a junction number, because it is equal to n+sod(n) for n = 1082493 and 1082502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11112 + ... + 11208.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

21082520 is an apocalyptic number.

1082520 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 1082520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834560).

1082520 is an abundant number, since it is smaller than the sum of its proper divisors (2586600).

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

1082520 is a wasteful number, since it uses less digits than its factorization.

1082520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1082520 is about 1040.4422136765. The cubic root of 1082520 is about 102.6782936927.

It can be divided in two parts, 108 and 2520, that added together give a triangular number (2628 = T72).

The spelling of 1082520 in words is "one million, eighty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 97 120 124 155 180 186 194 248 279 291 310 360 372 388 465 485 558 582 620 744 776 873 930 970 1116 1164 1240 1395 1455 1746 1860 1940 2232 2328 2790 2910 3007 3492 3720 3880 4365 5580 5820 6014 6984 8730 9021 11160 11640 12028 15035 17460 18042 24056 27063 30070 34920 36084 45105 54126 60140 72168 90210 108252 120280 135315 180420 216504 270630 360840 541260 1082520