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1247328 = 25326171
BaseRepresentation
bin100110000100001100000
32100101000100
410300201200
5304403303
642422400
713413345
oct4604140
92311010
101247328
11782155
12501a00
13348984
142467cc
151998a3
hex130860

1247328 has 72 divisors (see below), whose sum is σ = 3656016. Its totient is φ = 403200.

The previous prime is 1247327. The next prime is 1247329. The reversal of 1247328 is 8237421.

It is an interprime number because it is at equal distance from previous prime (1247327) and next prime (1247329).

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

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1247321) 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, 17533 + ... + 17603.

It is an arithmetic number, because the mean of its divisors is an integer number (50778).

21247328 is an apocalyptic number.

1247328 is a gapful number since it is divisible by the number (18) 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 1247328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008).

1247328 is an abundant number, since it is smaller than the sum of its proper divisors (2408688).

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

1247328 is a wasteful number, since it uses less digits than its factorization.

1247328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 1247328 is about 1116.8383947555. The cubic root of 1247328 is about 107.6449244193.

The spelling of 1247328 in words is "one million, two hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 71 72 96 122 142 144 183 213 244 284 288 366 426 488 549 568 639 732 852 976 1098 1136 1278 1464 1704 1952 2196 2272 2556 2928 3408 4331 4392 5112 5856 6816 8662 8784 10224 12993 17324 17568 20448 25986 34648 38979 51972 69296 77958 103944 138592 155916 207888 311832 415776 623664 1247328