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1306137870 = 232559245977
BaseRepresentation
bin100110111011010…
…0001010100001110
310101000201200022200
41031312201110032
510133332402440
6333335022330
744236663062
oct11566412416
93330650280
101306137870
1161030a794
1230550a9a6
1317a7a695b
14c567baa2
1579a03c30
hex4dda150e

1306137870 has 48 divisors (see below), whose sum is σ = 3453531120. Its totient is φ = 342398592.

The previous prime is 1306137841. The next prime is 1306137871. The reversal of 1306137870 is 787316031.

1306137870 is a `hidden beast` number, since 1 + 30 + 613 + 7 + 8 + 7 + 0 = 666.

It is a super-2 number, since 2×13061378702 = 3411992270896273800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306137871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117679 + ... + 128298.

It is an arithmetic number, because the mean of its divisors is an integer number (71948565).

Almost surely, 21306137870 is an apocalyptic number.

1306137870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1306137870 is an abundant number, since it is smaller than the sum of its proper divisors (2147393250).

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

1306137870 is a wasteful number, since it uses less digits than its factorization.

1306137870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246049 (or 246046 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1306137870 is about 36140.5294648543. The cubic root of 1306137870 is about 1093.1078349845.

The spelling of 1306137870 in words is "one billion, three hundred six million, one hundred thirty-seven thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1770 2655 5310 245977 491954 737931 1229885 1475862 2213793 2459770 3689655 4427586 7379310 11068965 14512643 22137930 29025286 43537929 72563215 87075858 130613787 145126430 217689645 261227574 435379290 653068935 1306137870