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1085292 = 223313773
BaseRepresentation
bin100001000111101101100
32001010202000
410020331230
5234212132
635132300
712140055
oct4107554
92033660
101085292
1168143a
12444090
132bccb0
1420372c
1516687c
hex108f6c

1085292 has 48 divisors (see below), whose sum is σ = 3034080. Its totient is φ = 333504.

The previous prime is 1085269. The next prime is 1085309. The reversal of 1085292 is 2925801.

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

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, 1018 + ... + 1790.

It is an arithmetic number, because the mean of its divisors is an integer number (63210).

21085292 is an apocalyptic number.

1085292 is a gapful number since it is divisible by the number (12) 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 1085292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517040).

1085292 is an abundant number, since it is smaller than the sum of its proper divisors (1948788).

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

1085292 is a wasteful number, since it uses less digits than its factorization.

1085292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 791 counting only the distinct ones).

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

The square root of 1085292 is about 1041.7734878562. The cubic root of 1085292 is about 102.7658614759.

It can be divided in two parts, 108 and 5292, that multiplied together give a square (571536 = 7562).

The spelling of 1085292 in words is "one million, eighty-five thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 773 1404 1546 2319 3092 4638 6957 9276 10049 13914 20098 20871 27828 30147 40196 41742 60294 83484 90441 120588 180882 271323 361764 542646 1085292