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1116864 = 26327277
BaseRepresentation
bin100010000101011000000
32002202001100
410100223000
5241214424
635534400
712331110
oct4205300
92082040
101116864
116a3131
1245a400
13301488
14211040
15170dc9
hex110ac0

1116864 has 84 divisors (see below), whose sum is σ = 3671824. Its totient is φ = 317952.

The previous prime is 1116859. The next prime is 1116887. The reversal of 1116864 is 4686111.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3894 + ... + 4170.

21116864 is an apocalyptic number.

1116864 is a gapful number since it is divisible by the number (14) 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 1116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835912).

1116864 is an abundant number, since it is smaller than the sum of its proper divisors (2554960).

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

1116864 is a wasteful number, since it uses less digits than its factorization.

1116864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 289 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1116864 is about 1056.8178651026. The cubic root of 1116864 is about 103.7528648747.

The spelling of 1116864 in words is "one million, one hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 277 288 336 448 504 554 576 672 831 1008 1108 1344 1662 1939 2016 2216 2493 3324 3878 4032 4432 4986 5817 6648 7756 8864 9972 11634 13296 15512 17451 17728 19944 23268 26592 31024 34902 39888 46536 53184 62048 69804 79776 93072 124096 139608 159552 186144 279216 372288 558432 1116864