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1316336460 = 2235231516317
BaseRepresentation
bin100111001110101…
…1011001101001100
310101201220211011020
41032131123031030
510143440231320
6334341354140
744422450425
oct11635331514
93351824136
101316336460
1161604607a
12308a08950
1317c937a1a
14c6b7464c
157a86a940
hex4e75b34c

1316336460 has 96 divisors (see below), whose sum is σ = 3872074752. Its totient is φ = 333484800.

The previous prime is 1316336449. The next prime is 1316336479. The reversal of 1316336460 is 646336131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205222 + ... + 211538.

It is an arithmetic number, because the mean of its divisors is an integer number (40334112).

Almost surely, 21316336460 is an apocalyptic number.

1316336460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316336460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936037376).

1316336460 is an abundant number, since it is smaller than the sum of its proper divisors (2555738292).

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

1316336460 is a wasteful number, since it uses less digits than its factorization.

1316336460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6503 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 1316336460 is about 36281.3514081270. The cubic root of 1316336460 is about 1095.9455313741.

The spelling of 1316336460 in words is "one billion, three hundred sixteen million, three hundred thirty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 151 230 276 302 345 453 460 604 690 755 906 1380 1510 1812 2265 3020 3473 4530 6317 6946 9060 10419 12634 13892 17365 18951 20838 25268 31585 34730 37902 41676 52095 63170 69460 75804 94755 104190 126340 145291 189510 208380 290582 379020 435873 581164 726455 871746 953867 1452910 1743492 1907734 2179365 2861601 2905820 3815468 4358730 4769335 5723202 8717460 9538670 11446404 14308005 19077340 21938941 28616010 43877882 57232020 65816823 87755764 109694705 131633646 219389410 263267292 329084115 438778820 658168230 1316336460