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1228240 = 245131181
BaseRepresentation
bin100101011110111010000
32022101211101
410223313100
5303300430
642154144
713303606
oct4536720
92271741
101228240
11769882
124b2954
13340090
1423d876
15193dca
hex12bdd0

1228240 has 40 divisors (see below), whose sum is σ = 3077928. Its totient is φ = 453120.

The previous prime is 1228219. The next prime is 1228243. The reversal of 1228240 is 428221.

It can be written as a sum of positive squares in 4 ways, for example, as 163216 + 1065024 = 404^2 + 1032^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450 + ... + 1630.

21228240 is an apocalyptic number.

1228240 is a gapful number since it is divisible by the number (10) 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 1228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538964).

1228240 is an abundant number, since it is smaller than the sum of its proper divisors (1849688).

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

1228240 is a wasteful number, since it uses less digits than its factorization.

1228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1228240 is about 1108.2598973165. The cubic root of 1228240 is about 107.0929986010.

Subtracting from 1228240 its sum of digits (19), we obtain a palindrome (1228221).

The spelling of 1228240 in words is "one million, two hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1181 2362 4724 5905 9448 11810 15353 18896 23620 30706 47240 61412 76765 94480 122824 153530 245648 307060 614120 1228240