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1108224 = 28321337
BaseRepresentation
bin100001110100100000000
32002022012100
410032210000
5240430344
635430400
712263655
oct4164400
92068170
101108224
11697697
12455400
132ca570
1420bc2c
1516d569
hex10e900

1108224 has 108 divisors (see below), whose sum is σ = 3534076. Its totient is φ = 331776.

The previous prime is 1108223. The next prime is 1108229. The reversal of 1108224 is 4228011.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 518400 = 768^2 + 720^2 .

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 = 1108197 and 1108206.

It is not an unprimeable number, because it can be changed into a prime (1108223) 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, 29934 + ... + 29970.

21108224 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 1108224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767038).

1108224 is an abundant number, since it is smaller than the sum of its proper divisors (2425852).

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

1108224 is a wasteful number, since it uses less digits than its factorization.

1108224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1108224 is about 1052.7221855741. The cubic root of 1108224 is about 103.4846297977.

The spelling of 1108224 in words is "one million, one hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 64 72 74 78 96 104 111 117 128 144 148 156 192 208 222 234 256 288 296 312 333 384 416 444 468 481 576 592 624 666 768 832 888 936 962 1152 1184 1248 1332 1443 1664 1776 1872 1924 2304 2368 2496 2664 2886 3328 3552 3744 3848 4329 4736 4992 5328 5772 7104 7488 7696 8658 9472 9984 10656 11544 14208 14976 15392 17316 21312 23088 28416 29952 30784 34632 42624 46176 61568 69264 85248 92352 123136 138528 184704 277056 369408 554112 1108224