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1221248 = 2772947
BaseRepresentation
bin100101010001010000000
32022001020102
410222022000
5303034443
642101532
713244330
oct4521200
92261212
101221248
117645a6
124aa8a8
13339b42
1423b0c0
15191cb8
hex12a280

1221248 has 64 divisors (see below), whose sum is σ = 2937600. Its totient is φ = 494592.

The previous prime is 1221247. The next prime is 1221251. The reversal of 1221248 is 8421221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1221247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25961 + ... + 26007.

It is an arithmetic number, because the mean of its divisors is an integer number (45900).

21221248 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 1221248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468800).

1221248 is an abundant number, since it is smaller than the sum of its proper divisors (1716352).

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

1221248 is an equidigital number, since it uses as much as digits as its factorization.

1221248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 1221248 is about 1105.1009003706. The cubic root of 1221248 is about 106.8893957103.

Adding to 1221248 its reverse (8421221), we get a palindrome (9642469).

The spelling of 1221248 in words is "one million, two hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 47 56 58 64 94 112 116 128 188 203 224 232 329 376 406 448 464 658 752 812 896 928 1316 1363 1504 1624 1856 2632 2726 3008 3248 3712 5264 5452 6016 6496 9541 10528 10904 12992 19082 21056 21808 25984 38164 42112 43616 76328 87232 152656 174464 305312 610624 1221248