Search a number
-
+
1105056 = 25331279
BaseRepresentation
bin100001101110010100000
32002010212000
410031302200
5240330211
635404000
712251511
oct4156240
92063760
101105056
11695277
12453600
132c8ca4
1420aa08
1516c656
hex10dca0

1105056 has 48 divisors (see below), whose sum is σ = 3225600. Its totient is φ = 368064.

The previous prime is 1105033. The next prime is 1105061. The reversal of 1105056 is 6505011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11050562 = 2442297526272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 225 + ... + 1503.

It is an arithmetic number, because the mean of its divisors is an integer number (67200).

21105056 is an apocalyptic number.

1105056 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 1105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612800).

1105056 is an abundant number, since it is smaller than the sum of its proper divisors (2120544).

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

1105056 is a wasteful number, since it uses less digits than its factorization.

1105056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1105056 is about 1051.2164382276. The cubic root of 1105056 is about 103.3859276717.

The spelling of 1105056 in words is "one million, one hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1279 2558 3837 5116 7674 10232 11511 15348 20464 23022 30696 34533 40928 46044 61392 69066 92088 122784 138132 184176 276264 368352 552528 1105056