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1331360 = 25553157
BaseRepresentation
bin101000101000010100000
32111122021122
411011002200
5320100420
644311412
714213342
oct5050240
92448248
101331360
1182a2a8
12542568
13377cb4
14269292
151b4725
hex1450a0

1331360 has 48 divisors (see below), whose sum is σ = 3225096. Its totient is φ = 519168.

The previous prime is 1331347. The next prime is 1331377. The reversal of 1331360 is 631331.

It can be written as a sum of positive squares in 4 ways, for example, as 1073296 + 258064 = 1036^2 + 508^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8402 + ... + 8558.

21331360 is an apocalyptic number.

1331360 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 1331360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612548).

1331360 is an abundant number, since it is smaller than the sum of its proper divisors (1893736).

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

1331360 is a wasteful number, since it uses less digits than its factorization.

1331360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1331360 is about 1153.8457435897. The cubic root of 1331360 is about 110.0099164614.

Adding to 1331360 its reverse (631331), we get a palindrome (1962691).

The spelling of 1331360 in words is "one million, three hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 157 160 212 265 314 424 530 628 785 848 1060 1256 1570 1696 2120 2512 3140 4240 5024 6280 8321 8480 12560 16642 25120 33284 41605 66568 83210 133136 166420 266272 332840 665680 1331360