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1085868 = 2232731139
BaseRepresentation
bin100001001000110101100
32001011112100
410021012230
5234221433
635135100
712141540
oct4110654
92034470
101085868
11681913
12444490
132c0334
14203a20
15166b13
hex1091ac

1085868 has 72 divisors (see below), whose sum is σ = 3261440. Its totient is φ = 298080.

The previous prime is 1085867. The next prime is 1085873. The reversal of 1085868 is 8685801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1085863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7743 + ... + 7881.

21085868 is an apocalyptic number.

1085868 is a gapful number since it is divisible by the number (18) 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 1085868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630720).

1085868 is an abundant number, since it is smaller than the sum of its proper divisors (2175572).

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

1085868 is a wasteful number, since it uses less digits than its factorization.

1085868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1085868 is about 1042.0499028358. The cubic root of 1085868 is about 102.7840386630.

It can be divided in two parts, 1085 and 868, that added together give a triangular number (1953 = T62).

The spelling of 1085868 in words is "one million, eighty-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 139 186 217 252 278 279 372 417 434 556 558 651 834 868 973 1116 1251 1302 1668 1946 1953 2502 2604 2919 3892 3906 4309 5004 5838 7812 8618 8757 11676 12927 17236 17514 25854 30163 35028 38781 51708 60326 77562 90489 120652 155124 180978 271467 361956 542934 1085868