Search a number
-
+
1106364 = 223713171
BaseRepresentation
bin100001110000110111100
32002012122110
410032012330
5240400424
635414020
712255360
oct4160674
92065573
101106364
11696256
12454310
132c976c
1420b2a0
1516cc29
hex10e1bc

1106364 has 24 divisors (see below), whose sum is σ = 2950528. Its totient is φ = 316080.

The previous prime is 1106363. The next prime is 1106381. The reversal of 1106364 is 4636011.

1106364 = T267 + T268 + ... + T294.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1106364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6502 + ... + 6669.

21106364 is an apocalyptic number.

1106364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1106364 is an abundant number, since it is smaller than the sum of its proper divisors (1844164).

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

1106364 is a wasteful number, since it uses less digits than its factorization.

1106364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13185 (or 13183 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1106364 is about 1051.8383906285. The cubic root of 1106364 is about 103.4267025205.

The spelling of 1106364 in words is "one million, one hundred six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 13171 26342 39513 52684 79026 92197 158052 184394 276591 368788 553182 1106364