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1303280 = 245111481
BaseRepresentation
bin100111110001011110000
32110012202122
410332023300
5313201110
643533412
714035436
oct4761360
92405678
101303280
118101a0
1252a268
13368294
1425cd56
151ab255
hex13e2f0

1303280 has 40 divisors (see below), whose sum is σ = 3307824. Its totient is φ = 473600.

The previous prime is 1303279. The next prime is 1303283. The reversal of 1303280 is 823031.

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 (1303283) 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, 140 + ... + 1620.

21303280 is an apocalyptic number.

1303280 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 1303280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653912).

1303280 is an abundant number, since it is smaller than the sum of its proper divisors (2004544).

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

1303280 is a wasteful number, since it uses less digits than its factorization.

1303280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1303280 is about 1141.6128941108. The cubic root of 1303280 is about 109.2310001572.

Subtracting from 1303280 its reverse (823031), we obtain a square (480249 = 6932).

The spelling of 1303280 in words is "one million, three hundred three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1481 2962 5924 7405 11848 14810 16291 23696 29620 32582 59240 65164 81455 118480 130328 162910 260656 325820 651640 1303280