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1307382760 = 23532684569
BaseRepresentation
bin100110111101101…
…0001001111101000
310101010001220222201
41031323101033220
510134142222020
6333421425544
744253366355
oct11573211750
93333056881
101307382760
11610a90022
12305a0b2b4
1317ab21488
14c58c362c
1579b9ca0a
hex4ded13e8

1307382760 has 16 divisors (see below), whose sum is σ = 2941611300. Its totient is φ = 522953088.

The previous prime is 1307382743. The next prime is 1307382763. The reversal of 1307382760 is 672837031.

It can be written as a sum of positive squares in 2 ways, for example, as 1183772836 + 123609924 = 34406^2 + 11118^2 .

It is a super-2 number, since 2×13073827602 = 3418499362290435200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1307382763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16342245 + ... + 16342324.

Almost surely, 21307382760 is an apocalyptic number.

1307382760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1307382760 is an abundant number, since it is smaller than the sum of its proper divisors (1634228540).

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

1307382760 is a wasteful number, since it uses less digits than its factorization.

1307382760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32684580 (or 32684576 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 1307382760 is about 36157.7482705989. The cubic root of 1307382760 is about 1093.4550078579.

The spelling of 1307382760 in words is "one billion, three hundred seven million, three hundred eighty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 32684569 65369138 130738276 163422845 261476552 326845690 653691380 1307382760