Search a number
-
+
10844172 = 2233314179
BaseRepresentation
bin101001010111…
…100000001100
3202101221102000
4221113200030
510234003142
61024232300
7161113443
oct51274014
922357360
1010844172
116137429
12376b690
132328b91
141623d5a
15e4314c
hexa5780c

10844172 has 96 divisors (see below), whose sum is σ = 30105600. Its totient is φ = 3369600.

The previous prime is 10844167. The next prime is 10844209. The reversal of 10844172 is 27144801.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 137229 + ... + 137307.

It is an arithmetic number, because the mean of its divisors is an integer number (313600).

Almost surely, 210844172 is an apocalyptic number.

10844172 is a gapful number since it is divisible by the number (12) 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 10844172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15052800).

10844172 is an abundant number, since it is smaller than the sum of its proper divisors (19261428).

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

10844172 is a wasteful number, since it uses less digits than its factorization.

10844172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 10844172 is about 3293.0490430602. The cubic root of 10844172 is about 221.3428337804.

Adding to 10844172 its reverse (27144801), we get a palindrome (37988973).

The spelling of 10844172 in words is "ten million, eight hundred forty-four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 41 54 62 79 82 93 108 123 124 158 164 186 237 246 279 316 369 372 474 492 558 711 738 837 948 1107 1116 1271 1422 1476 1674 2133 2214 2449 2542 2844 3239 3348 3813 4266 4428 4898 5084 6478 7347 7626 8532 9717 9796 11439 12956 14694 15252 19434 22041 22878 29151 29388 34317 38868 44082 45756 58302 66123 68634 87453 88164 100409 116604 132246 137268 174906 200818 264492 301227 349812 401636 602454 903681 1204908 1807362 2711043 3614724 5422086 10844172