Search a number
-
+
1105038 = 232115581
BaseRepresentation
bin100001101110010001110
32002010211100
410031302032
5240330123
635403530
712251454
oct4156216
92063740
101105038
11695260
124535a6
132c8c8c
1420a9d4
1516c643
hex10dc8e

1105038 has 24 divisors (see below), whose sum is σ = 2612376. Its totient is φ = 334800.

The previous prime is 1105033. The next prime is 1105061. The reversal of 1105038 is 8305011.

It is a happy number.

It is a super-2 number, since 2×11050382 = 2442217962888, which contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1105038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2593 + ... + 2988.

It is an arithmetic number, because the mean of its divisors is an integer number (108849).

21105038 is an apocalyptic number.

1105038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1105038 is an abundant number, since it is smaller than the sum of its proper divisors (1507338).

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

1105038 is a wasteful number, since it uses less digits than its factorization.

1105038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1105038 is about 1051.2078766828. The cubic root of 1105038 is about 103.3853663256.

The spelling of 1105038 in words is "one million, one hundred five thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 5581 11162 16743 33486 50229 61391 100458 122782 184173 368346 552519 1105038