Search a number
-
+
1115968 = 2674753
BaseRepresentation
bin100010000011101000000
32002200211011
410100131000
5241202333
635530304
712325360
oct4203500
92080734
101115968
116a2497
12459994
13300c49
142109a0
151709cd
hex110740

1115968 has 56 divisors (see below), whose sum is σ = 2633472. Its totient is φ = 459264.

The previous prime is 1115941. The next prime is 1115987. The reversal of 1115968 is 8695111.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21030 + ... + 21082.

21115968 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 1115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316736).

1115968 is an abundant number, since it is smaller than the sum of its proper divisors (1517504).

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

1115968 is an equidigital number, since it uses as much as digits as its factorization.

1115968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its digits is 2160, while the sum is 31.

The square root of 1115968 is about 1056.3938659421. The cubic root of 1115968 is about 103.7251123349.

The spelling of 1115968 in words is "one million, one hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 53 56 64 94 106 112 188 212 224 329 371 376 424 448 658 742 752 848 1316 1484 1504 1696 2491 2632 2968 3008 3392 4982 5264 5936 9964 10528 11872 17437 19928 21056 23744 34874 39856 69748 79712 139496 159424 278992 557984 1115968