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1045224 = 23341613
BaseRepresentation
bin11111111001011101000
31222002210000
43333023220
5231421344
634223000
711612205
oct3771350
91862700
101045224
11654324
12424a60
132a799b
141d2cac
15159a69
hexff2e8

1045224 has 40 divisors (see below), whose sum is σ = 2929410. Its totient is φ = 348192.

The previous prime is 1045223. The next prime is 1045229. The reversal of 1045224 is 4225401.

It can be written as a sum of positive squares in only one way, i.e., 842724 + 202500 = 918^2 + 450^2 .

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 = 1045197 and 1045206.

It is not an unprimeable number, because it can be changed into a prime (1045223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159 + ... + 1454.

21045224 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 1045224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464705).

1045224 is an abundant number, since it is smaller than the sum of its proper divisors (1884186).

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

1045224 is a wasteful number, since it uses less digits than its factorization.

1045224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1045224 is about 1022.3619711237. The cubic root of 1045224 is about 101.4852963890.

The spelling of 1045224 in words is "one million, forty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1613 3226 4839 6452 9678 12904 14517 19356 29034 38712 43551 58068 87102 116136 130653 174204 261306 348408 522612 1045224