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1321360 = 24583199
BaseRepresentation
bin101000010100110010000
32111010120021
411002212100
5314240420
644153224
714142235
oct5024620
92433507
101321360
11822837
12538814
13373591
1426578c
151b17aa
hex142990

1321360 has 40 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 519552.

The previous prime is 1321357. The next prime is 1321363. The reversal of 1321360 is 631231.

It is an interprime number because it is at equal distance from previous prime (1321357) and next prime (1321363).

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6541 + ... + 6739.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

21321360 is an apocalyptic number.

1321360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1321360 is the 664-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

1321360 is an abundant number, since it is smaller than the sum of its proper divisors (1803440).

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

1321360 is a wasteful number, since it uses less digits than its factorization.

1321360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1321360 is about 1149.5042409665. The cubic root of 1321360 is about 109.7337915365.

Adding to 1321360 its reverse (631231), we get a palindrome (1952591).

It can be divided in two parts, 1321 and 360, that added together give a square (1681 = 412).

The spelling of 1321360 in words is "one million, three hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 199 332 398 415 664 796 830 995 1328 1592 1660 1990 3184 3320 3980 6640 7960 15920 16517 33034 66068 82585 132136 165170 264272 330340 660680 1321360