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1085616 = 24337359
BaseRepresentation
bin100001001000010110000
32001011012000
410021002300
5234214431
635134000
712141030
oct4110260
92034160
101085616
11681704
12444300
132c019c
142038c0
151669e6
hex1090b0

1085616 has 80 divisors (see below), whose sum is σ = 3571200. Its totient is φ = 309312.

The previous prime is 1085611. The next prime is 1085627. The reversal of 1085616 is 6165801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 1085616.

It is not an unprimeable number, because it can be changed into a prime (1085611) 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, 2845 + ... + 3203.

It is an arithmetic number, because the mean of its divisors is an integer number (44640).

21085616 is an apocalyptic number.

1085616 is a gapful number since it is divisible by the number (16) 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 1085616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785600).

1085616 is an abundant number, since it is smaller than the sum of its proper divisors (2485584).

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

1085616 is a wasteful number, since it uses less digits than its factorization.

1085616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1085616 is about 1041.9289803053. The cubic root of 1085616 is about 102.7760869348.

The spelling of 1085616 in words is "one million, eighty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 359 378 432 504 718 756 1008 1077 1436 1512 2154 2513 2872 3024 3231 4308 5026 5744 6462 7539 8616 9693 10052 12924 15078 17232 19386 20104 22617 25848 30156 38772 40208 45234 51696 60312 67851 77544 90468 120624 135702 155088 180936 271404 361872 542808 1085616