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1307240712 = 233242612
BaseRepresentation
bin100110111101010…
…1110100100001000
310101002210201010200
41031322232210020
510134123200322
6333414412200
744252235261
oct11572564410
93332721120
101307240712
116109a3328
12305961060
1317aaa191b
14c5887968
1579b708ac
hex4deae908

1307240712 has 36 divisors (see below), whose sum is σ = 3541274685. Its totient is φ = 435644640.

The previous prime is 1307240699. The next prime is 1307240723. The reversal of 1307240712 is 2170427031.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 888874596 + 418366116 = 29814^2 + 20454^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=25566.

It is a super-2 number, since 2×13072407122 = 3417756558220533888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 304662 + ... + 308922.

Almost surely, 21307240712 is an apocalyptic number.

1307240712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1307240712 is an abundant number, since it is smaller than the sum of its proper divisors (2234033973).

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

1307240712 is an frugal number, since it uses more digits than its factorization.

1307240712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8534 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1307240712 is about 36155.7839356305. The cubic root of 1307240712 is about 1093.4154048874.

Adding to 1307240712 its reverse (2170427031), we get a palindrome (3477667743).

The spelling of 1307240712 in words is "one billion, three hundred seven million, two hundred forty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4261 8522 12783 17044 25566 34088 38349 51132 76698 102264 153396 306792 18156121 36312242 54468363 72624484 108936726 145248968 163405089 217873452 326810178 435746904 653620356 1307240712