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1307310264 = 2332134729717
BaseRepresentation
bin100110111101011…
…1111100010111000
310101002221020112200
41031322333202320
510134132412024
6333420110200
744252645121
oct11572774270
93332836480
101307310264
11610a40607
12305995360
1317aac7490
14c58a5048
1579b862c9
hex4debf8b8

1307310264 has 96 divisors (see below), whose sum is σ = 3894246720. Its totient is φ = 393677568.

The previous prime is 1307310253. The next prime is 1307310289. The reversal of 1307310264 is 4620137031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29134 + ... + 58850.

It is an arithmetic number, because the mean of its divisors is an integer number (40565070).

Almost surely, 21307310264 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 1307310264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947123360).

1307310264 is an abundant number, since it is smaller than the sum of its proper divisors (2586936456).

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

1307310264 is a wasteful number, since it uses less digits than its factorization.

1307310264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29789 (or 29782 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1307310264 is about 36156.7457606461. The cubic root of 1307310264 is about 1093.4347963376.

Adding to 1307310264 its reverse (4620137031), we get a palindrome (5927447295).

The spelling of 1307310264 in words is "one billion, three hundred seven million, three hundred ten thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 47 52 72 78 94 104 117 141 156 188 234 282 312 376 423 468 564 611 846 936 1128 1222 1692 1833 2444 3384 3666 4888 5499 7332 10998 14664 21996 29717 43992 59434 89151 118868 178302 237736 267453 356604 386321 534906 713208 772642 1069812 1158963 1396699 1545284 2139624 2317926 2793398 3090568 3476889 4190097 4635852 5586796 6953778 8380194 9271704 11173592 12570291 13907556 16760388 18157087 25140582 27815112 33520776 36314174 50281164 54471261 72628348 100562328 108942522 145256696 163413783 217885044 326827566 435770088 653655132 1307310264