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1010820 = 223517991
BaseRepresentation
bin11110110110010000100
31220100120210
43312302010
5224321240
633355420
711406666
oct3666204
91810523
101010820
11630498
12408b70
13295125
141c4536
1514e780
hexf6c84

1010820 has 48 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 253440.

The previous prime is 1010809. The next prime is 1010833. The reversal of 1010820 is 280101.

It is a happy number.

1010820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1010796 and 1010805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525 + ... + 1515.

It is an arithmetic number, because the mean of its divisors is an integer number (62496).

21010820 is an apocalyptic number.

1010820 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 1010820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904).

1010820 is an abundant number, since it is smaller than the sum of its proper divisors (1988988).

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

1010820 is a wasteful number, since it uses less digits than its factorization.

1010820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1010820 is about 1005.3954445888. The cubic root of 1010820 is about 100.3593736255.

Adding to 1010820 its reverse (280101), we get a palindrome (1290921).

It can be divided in two parts, 1010 and 820, that added together give a triangular number (1830 = T60).

The spelling of 1010820 in words is "one million, ten thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 991 1020 1982 2973 3964 4955 5946 9910 11892 14865 16847 19820 29730 33694 50541 59460 67388 84235 101082 168470 202164 252705 336940 505410 1010820