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1065820 = 225723331
BaseRepresentation
bin100000100001101011100
32000011000211
410010031130
5233101240
634502204
712026230
oct4041534
92004024
101065820
11668848
12434964
132b4182
141da5c0
15160bea
hex10435c

1065820 has 48 divisors (see below), whose sum is σ = 2677248. Its totient is φ = 348480.

The previous prime is 1065817. The next prime is 1065821. The reversal of 1065820 is 285601.

It is a happy number.

It is a super-2 number, since 2×10658202 = 2271944544800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1065791 and 1065800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3055 + ... + 3385.

It is an arithmetic number, because the mean of its divisors is an integer number (55776).

21065820 is an apocalyptic number.

1065820 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 1065820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338624).

1065820 is an abundant number, since it is smaller than the sum of its proper divisors (1611428).

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

1065820 is a wasteful number, since it uses less digits than its factorization.

1065820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1065820 is about 1032.3855868812. The cubic root of 1065820 is about 102.1475501361.

The spelling of 1065820 in words is "one million, sixty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 331 460 644 662 805 1324 1610 1655 2317 3220 3310 4634 6620 7613 9268 11585 15226 23170 30452 38065 46340 53291 76130 106582 152260 213164 266455 532910 1065820