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1325280 = 253511251
BaseRepresentation
bin101000011100011100000
32111022221110
411003203200
5314402110
644223320
714156535
oct5034340
92438843
101325280
11825780
1253ab40
133752b8
14266d8c
151b2a20
hex1438e0

1325280 has 96 divisors (see below), whose sum is σ = 4572288. Its totient is φ = 320000.

The previous prime is 1325273. The next prime is 1325287. The reversal of 1325280 is 825231.

It is an interprime number because it is at equal distance from previous prime (1325273) and next prime (1325287).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5155 + ... + 5405.

It is an arithmetic number, because the mean of its divisors is an integer number (47628).

21325280 is an apocalyptic number.

1325280 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 1325280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286144).

1325280 is an abundant number, since it is smaller than the sum of its proper divisors (3247008).

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

1325280 is a wasteful number, since it uses less digits than its factorization.

1325280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1325280 is about 1151.2080611254. The cubic root of 1325280 is about 109.8421979736.

The spelling of 1325280 in words is "one million, three hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 251 264 330 352 440 480 502 528 660 753 880 1004 1056 1255 1320 1506 1760 2008 2510 2640 2761 3012 3765 4016 5020 5280 5522 6024 7530 8032 8283 10040 11044 12048 13805 15060 16566 20080 22088 24096 27610 30120 33132 40160 41415 44176 55220 60240 66264 82830 88352 110440 120480 132528 165660 220880 265056 331320 441760 662640 1325280