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1090820 = 22554541
BaseRepresentation
bin100001010010100000100
32001102022202
410022110010
5234401240
635214032
712162143
oct4122404
92042282
101090820
11685605
12447318
132c2673
1420575a
15168315
hex10a504

1090820 has 12 divisors (see below), whose sum is σ = 2290764. Its totient is φ = 436320.

The previous prime is 1090819. The next prime is 1090841. The reversal of 1090820 is 280901.

It can be written as a sum of positive squares in 2 ways, for example, as 173056 + 917764 = 416^2 + 958^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 54541 = 1090820 / (1 + 0 + 9 + 0 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1090792 and 1090801.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27251 + ... + 27290.

It is an arithmetic number, because the mean of its divisors is an integer number (190897).

21090820 is an apocalyptic number.

1090820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1090820 is an abundant number, since it is smaller than the sum of its proper divisors (1199944).

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

1090820 is a wasteful number, since it uses less digits than its factorization.

1090820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54550 (or 54548 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1090820 is about 1044.4232858377. The cubic root of 1090820 is about 102.9400474306.

The spelling of 1090820 in words is "one million, ninety thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 54541 109082 218164 272705 545410 1090820