[go: up one dir, main page]

Search a number
-
+
1109106 = 233192347
BaseRepresentation
bin100001110110001110010
32002100102000
410032301302
5240442411
635434430
712266355
oct4166162
92070360
101109106
11698319
12455a16
132caa9b
1420c29c
1516d956
hex10ec72

1109106 has 64 divisors (see below), whose sum is σ = 2764800. Its totient is φ = 327888.

The previous prime is 1109057. The next prime is 1109113. The reversal of 1109106 is 6019011.

It is a super-2 number, since 2×11091062 = 2460232238472, 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23575 + ... + 23621.

It is an arithmetic number, because the mean of its divisors is an integer number (43200).

21109106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1109106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382400).

1109106 is an abundant number, since it is smaller than the sum of its proper divisors (1655694).

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

1109106 is a wasteful number, since it uses less digits than its factorization.

1109106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1109106 is about 1053.1410161987. The cubic root of 1109106 is about 103.5120758857.

It can be divided in two parts, 110 and 9106, that added together give a square (9216 = 962).

The spelling of 1109106 in words is "one million, one hundred nine thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 47 54 57 69 94 114 138 141 171 207 282 342 414 423 437 513 621 846 874 893 1026 1081 1242 1269 1311 1786 2162 2538 2622 2679 3243 3933 5358 6486 7866 8037 9729 11799 16074 19458 20539 23598 24111 29187 41078 48222 58374 61617 123234 184851 369702 554553 1109106