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1106424 = 2332112127
BaseRepresentation
bin100001110000111111000
32002012201200
410032013320
5240401144
635414200
712255504
oct4160770
92065650
101106424
11696300
12454360
132c97b7
1420b304
1516cc69
hex10e1f8

1106424 has 72 divisors (see below), whose sum is σ = 3319680. Its totient is φ = 332640.

The previous prime is 1106423. The next prime is 1106429. The reversal of 1106424 is 4246011.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 1106397 and 1106406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106423) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8649 + ... + 8775.

21106424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659840).

1106424 is an abundant number, since it is smaller than the sum of its proper divisors (2213256).

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

1106424 is a wasteful number, since it uses less digits than its factorization.

1106424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1106424 is about 1051.8669117336. The cubic root of 1106424 is about 103.4285721553.

The spelling of 1106424 in words is "one million, one hundred six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 127 132 198 242 254 264 363 381 396 484 508 726 762 792 968 1016 1089 1143 1397 1452 1524 2178 2286 2794 2904 3048 4191 4356 4572 5588 8382 8712 9144 11176 12573 15367 16764 25146 30734 33528 46101 50292 61468 92202 100584 122936 138303 184404 276606 368808 553212 1106424