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1307081268 = 223293738749
BaseRepresentation
bin100110111101000…
…0111101000110100
310101002111121102100
41031322013220310
510134103100033
6333411142100
744251002363
oct11572075064
93332447370
101307081268
116108a4559
123058a4930
1317aa4718c
14c58457da
1579b3d513
hex4de87a34

1307081268 has 36 divisors (see below), whose sum is σ = 3307622500. Its totient is φ = 435217536.

The previous prime is 1307081257. The next prime is 1307081287. The reversal of 1307081268 is 8621807031.

1307081268 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 311804964 + 995276304 = 17658^2 + 31548^2 .

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

It is a super-2 number, since 2×13070812682 = 3416922882312975648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14358 + ... + 53106.

Almost surely, 21307081268 is an apocalyptic number.

1307081268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1307081268 is an abundant number, since it is smaller than the sum of its proper divisors (2000541232).

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

1307081268 is a wasteful number, since it uses less digits than its factorization.

1307081268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39696 (or 39691 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1307081268 is about 36153.5789099779. The cubic root of 1307081268 is about 1093.3709484960.

Adding to 1307081268 its reverse (8621807031), we get a palindrome (9928888299).

The spelling of 1307081268 in words is "one billion, three hundred seven million, eighty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 937 1874 2811 3748 5622 8433 11244 16866 33732 38749 77498 116247 154996 232494 348741 464988 697482 1394964 36307813 72615626 108923439 145231252 217846878 326770317 435693756 653540634 1307081268