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1085076 = 223417197
BaseRepresentation
bin100001000111010010100
32001010110000
410020322110
5234210301
635131300
712136326
oct4107224
92033400
101085076
11681263
12443b30
132bcb75
14203616
15166786
hex108e94

1085076 has 60 divisors (see below), whose sum is σ = 3018708. Its totient is φ = 338688.

The previous prime is 1085053. The next prime is 1085101. The reversal of 1085076 is 6705801.

It can be written as a sum of positive squares in 2 ways, for example, as 980100 + 104976 = 990^2 + 324^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5410 + ... + 5606.

21085076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509354).

1085076 is an abundant number, since it is smaller than the sum of its proper divisors (1933632).

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

1085076 is a wasteful number, since it uses less digits than its factorization.

1085076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1085076 is about 1041.6698133286. The cubic root of 1085076 is about 102.7590433726.

It can be divided in two parts, 108 and 5076, that added together give a square (5184 = 722).

The spelling of 1085076 in words is "one million, eighty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 197 204 306 324 394 459 591 612 788 918 1182 1377 1773 1836 2364 2754 3349 3546 5319 5508 6698 7092 10047 10638 13396 15957 20094 21276 30141 31914 40188 60282 63828 90423 120564 180846 271269 361692 542538 1085076