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1330441120 = 25529286733
BaseRepresentation
bin100111101001100…
…1110101110100000
310102201110102010001
41033103032232200
510211043103440
6340003545344
744653364041
oct11723165640
93381412101
101330441120
11622aaa118
1231168b254
13182835988
14c89a68c8
157bc04b9a
hex4f4ceba0

1330441120 has 48 divisors (see below), whose sum is σ = 3251563560. Its totient is φ = 513823744.

The previous prime is 1330441111. The next prime is 1330441129. The reversal of 1330441120 is 211440331.

It is an interprime number because it is at equal distance from previous prime (1330441111) and next prime (1330441129).

It can be written as a sum of positive squares in 4 ways, for example, as 942981264 + 387459856 = 30708^2 + 19684^2 .

It is not an unprimeable number, because it can be changed into a prime (1330441129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138727 + ... + 148006.

Almost surely, 21330441120 is an apocalyptic number.

1330441120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330441120 is an abundant number, since it is smaller than the sum of its proper divisors (1921122440).

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

1330441120 is a wasteful number, since it uses less digits than its factorization.

1330441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286777 (or 286769 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1330441120 is about 36475.2124051389. The cubic root of 1330441120 is about 1099.8460170133.

Adding to 1330441120 its reverse (211440331), we get a palindrome (1541881451).

The spelling of 1330441120 in words is "one billion, three hundred thirty million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 286733 573466 1146932 1433665 2293864 2867330 4587728 5734660 8315257 9175456 11469320 16630514 22938640 33261028 41576285 45877280 66522056 83152570 133044112 166305140 266088224 332610280 665220560 1330441120