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1085620 = 2251731103
BaseRepresentation
bin100001001000010110100
32001011012011
410021002310
5234214440
635134004
712141034
oct4110264
92034164
101085620
11681708
12444304
132c01a3
142038c4
151669ea
hex1090b4

1085620 has 48 divisors (see below), whose sum is σ = 2515968. Its totient is φ = 391680.

The previous prime is 1085611. The next prime is 1085627. The reversal of 1085620 is 265801.

1085620 = T249 + T250 + ... + T279.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1085591 and 1085600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10489 + ... + 10591.

It is an arithmetic number, because the mean of its divisors is an integer number (52416).

21085620 is an apocalyptic number.

1085620 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 1085620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257984).

1085620 is an abundant number, since it is smaller than the sum of its proper divisors (1430348).

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

1085620 is a wasteful number, since it uses less digits than its factorization.

1085620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 158 counting only the distinct ones).

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

The square root of 1085620 is about 1041.9308998201. The cubic root of 1085620 is about 102.7762131623.

The spelling of 1085620 in words is "one million, eighty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 103 124 155 170 206 310 340 412 515 527 620 1030 1054 1751 2060 2108 2635 3193 3502 5270 6386 7004 8755 10540 12772 15965 17510 31930 35020 54281 63860 108562 217124 271405 542810 1085620