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1330224 = 243737107
BaseRepresentation
bin101000100110000110000
32111120201120
411010300300
5320031344
644302240
714210130
oct5046060
92446646
101330224
11829465
12541980
1337761c
14268ac0
151b4219
hex144c30

1330224 has 80 divisors (see below), whose sum is σ = 4071168. Its totient is φ = 366336.

The previous prime is 1330223. The next prime is 1330229. The reversal of 1330224 is 4220331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12379 + ... + 12485.

21330224 is an apocalyptic number.

1330224 is a gapful number since it is divisible by the number (14) 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 1330224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035584).

1330224 is an abundant number, since it is smaller than the sum of its proper divisors (2740944).

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

1330224 is a wasteful number, since it uses less digits than its factorization.

1330224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1330224 is about 1153.3533716949. The cubic root of 1330224 is about 109.9786184337.

Adding to 1330224 its reverse (4220331), we get a palindrome (5550555).

The spelling of 1330224 in words is "one million, three hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 107 111 112 148 168 214 222 259 296 321 336 428 444 518 592 642 749 777 856 888 1036 1284 1498 1554 1712 1776 2072 2247 2568 2996 3108 3959 4144 4494 5136 5992 6216 7918 8988 11877 11984 12432 15836 17976 23754 27713 31672 35952 47508 55426 63344 83139 95016 110852 166278 190032 221704 332556 443408 665112 1330224