Search a number
-
+
1086096 = 24311317
BaseRepresentation
bin100001001001010010000
32001011211210
410021022100
5234223341
635140120
712142314
oct4111220
92034753
101086096
11682000
12444640
132c047b
14203b44
15166c16
hex109290

1086096 has 80 divisors (see below), whose sum is σ = 3267648. Its totient is φ = 309760.

The previous prime is 1086091. The next prime is 1086101. The reversal of 1086096 is 6906801.

It is an interprime number because it is at equal distance from previous prime (1086091) and next prime (1086101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086091) 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, 63880 + ... + 63896.

21086096 is an apocalyptic number.

1086096 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 1086096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633824).

1086096 is an abundant number, since it is smaller than the sum of its proper divisors (2181552).

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

1086096 is a wasteful number, since it uses less digits than its factorization.

1086096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1086096 is about 1042.1592968448. The cubic root of 1086096 is about 102.7912320238.

The spelling of 1086096 in words is "one million, eighty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 121 132 136 176 187 204 242 264 272 363 374 408 484 528 561 726 748 816 968 1122 1331 1452 1496 1936 2057 2244 2662 2904 2992 3993 4114 4488 5324 5808 6171 7986 8228 8976 10648 12342 15972 16456 21296 22627 24684 31944 32912 45254 49368 63888 67881 90508 98736 135762 181016 271524 362032 543048 1086096