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1085136 = 243133747
BaseRepresentation
bin100001000111011010000
32001010112020
410020323100
5234211021
635131440
712136443
oct4107320
92033466
101085136
11681308
12443b80
132bcbc0
1420365a
151667c6
hex108ed0

1085136 has 80 divisors (see below), whose sum is σ = 3166464. Its totient is φ = 317952.

The previous prime is 1085131. The next prime is 1085137. The reversal of 1085136 is 6315801.

It is a super-3 number, since 3×10851363 = 3833308479020986368, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085131) 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, 23065 + ... + 23111.

21085136 is an apocalyptic number.

1085136 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 1085136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583232).

1085136 is an abundant number, since it is smaller than the sum of its proper divisors (2081328).

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

1085136 is a wasteful number, since it uses less digits than its factorization.

1085136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1085136 is about 1041.6986128435. The cubic root of 1085136 is about 102.7609373809.

It can be divided in two parts, 1085 and 136, that added together give a palindrome (1221).

The spelling of 1085136 in words is "one million, eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 47 48 52 74 78 94 104 111 141 148 156 188 208 222 282 296 312 376 444 481 564 592 611 624 752 888 962 1128 1222 1443 1739 1776 1833 1924 2256 2444 2886 3478 3666 3848 4888 5217 5772 6956 7332 7696 9776 10434 11544 13912 14664 20868 22607 23088 27824 29328 41736 45214 67821 83472 90428 135642 180856 271284 361712 542568 1085136