Search a number
-
+
1306326616 = 237532331889
BaseRepresentation
bin100110111011100…
…1111011001011000
310101001002021020021
41031313033121120
510133404422431
6333343040224
744241410260
oct11567173130
93331067207
101306326616
11610429581
123055a0074
1317a84183a
14c56ca7a0
1579a3eb11
hex4ddcf658

1306326616 has 64 divisors (see below), whose sum is σ = 2865844800. Its totient is φ = 546643968.

The previous prime is 1306326599. The next prime is 1306326643. The reversal of 1306326616 is 6166236031.

It is a super-2 number, since 2×13063266162 = 3412978455340022912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690600 + ... + 692488.

It is an arithmetic number, because the mean of its divisors is an integer number (44778825).

Almost surely, 21306326616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306326616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432922400).

1306326616 is an abundant number, since it is smaller than the sum of its proper divisors (1559518184).

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

1306326616 is a wasteful number, since it uses less digits than its factorization.

1306326616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 1306326616 is about 36143.1406493680. The cubic root of 1306326616 is about 1093.1604863416.

The spelling of 1306326616 in words is "one billion, three hundred six million, three hundred twenty-six thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 233 371 424 466 742 932 1484 1631 1864 1889 2968 3262 3778 6524 7556 12349 13048 13223 15112 24698 26446 49396 52892 86443 98792 100117 105784 172886 200234 345772 400468 440137 691544 700819 800936 880274 1401638 1760548 2803276 3080959 3521096 5606552 6161918 12323836 23327261 24647672 46654522 93309044 163290827 186618088 326581654 653163308 1306326616