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1052820 = 223255849
BaseRepresentation
bin100000001000010010100
31222111012100
410001002110
5232142240
634322100
711643306
oct4010224
91874170
101052820
11659aaa
12429330
132ab292
141d5976
1515be30
hex101094

1052820 has 36 divisors (see below), whose sum is σ = 3194100. Its totient is φ = 280704.

The previous prime is 1052819. The next prime is 1052851. The reversal of 1052820 is 282501.

It can be written as a sum of positive squares in 2 ways, for example, as 367236 + 685584 = 606^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10528202 = 2216859904800, which contains 22 as substring.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1052793 and 1052802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2745 + ... + 3104.

It is an arithmetic number, because the mean of its divisors is an integer number (88725).

21052820 is an apocalyptic number.

1052820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052820 is an abundant number, since it is smaller than the sum of its proper divisors (2141280).

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

1052820 is a wasteful number, since it uses less digits than its factorization.

1052820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 5859 counting only the distinct ones).

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

The square root of 1052820 is about 1026.0701730389. The cubic root of 1052820 is about 101.7305460174.

The spelling of 1052820 in words is "one million, fifty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5849 11698 17547 23396 29245 35094 52641 58490 70188 87735 105282 116980 175470 210564 263205 350940 526410 1052820