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1306224 = 243247193
BaseRepresentation
bin100111110111001110000
32110100210200
410332321300
5313244344
643555200
714050143
oct4767160
92410720
101306224
11812427
1252bb00
1336971a
1426005a
151ac069
hex13ee70

1306224 has 60 divisors (see below), whose sum is σ = 3752736. Its totient is φ = 423936.

The previous prime is 1306223. The next prime is 1306237. The reversal of 1306224 is 4226031.

It is a happy number.

It is a super-2 number, since 2×13062242 = 3412442276352, which contains 22 as substring.

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 = 1306197 and 1306206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306223) 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, 6672 + ... + 6864.

21306224 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 1306224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876368).

1306224 is an abundant number, since it is smaller than the sum of its proper divisors (2446512).

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

1306224 is a wasteful number, since it uses less digits than its factorization.

1306224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1306224 is about 1142.9015705650. The cubic root of 1306224 is about 109.3131861879.

The spelling of 1306224 in words is "one million, three hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 193 282 376 386 423 564 579 752 772 846 1128 1158 1544 1692 1737 2256 2316 3088 3384 3474 4632 6768 6948 9071 9264 13896 18142 27213 27792 36284 54426 72568 81639 108852 145136 163278 217704 326556 435408 653112 1306224