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1316196880 = 245197997113
BaseRepresentation
bin100111001110011…
…1001001000010000
310101201122201200121
41032130321020100
510143421300010
6334334400024
744421326455
oct11634711020
93351581617
101316196880
11615a60219
12308960014
1317c8b932b
14c6b3982c
157a83e3da
hex4e739210

1316196880 has 160 divisors (see below), whose sum is σ = 3324787200. Its totient is φ = 483065856.

The previous prime is 1316196863. The next prime is 1316196911. The reversal of 1316196880 is 886916131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11647704 + ... + 11647816.

It is an arithmetic number, because the mean of its divisors is an integer number (20779920).

Almost surely, 21316196880 is an apocalyptic number.

1316196880 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 1316196880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662393600).

1316196880 is an abundant number, since it is smaller than the sum of its proper divisors (2008590320).

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

1316196880 is a wasteful number, since it uses less digits than its factorization.

1316196880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 1316196880 is about 36279.4277793903. The cubic root of 1316196880 is about 1095.9067931819.

The spelling of 1316196880 in words is "one billion, three hundred sixteen million, one hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 79 80 95 97 113 152 158 190 194 226 304 316 380 388 395 452 485 565 632 760 776 790 904 970 1130 1264 1501 1520 1552 1580 1808 1843 1940 2147 2260 3002 3160 3686 3880 4294 4520 6004 6320 7372 7505 7663 7760 8588 8927 9040 9215 10735 10961 12008 14744 15010 15326 17176 17854 18430 21470 21922 24016 29488 30020 30652 34352 35708 36860 38315 42940 43844 44635 54805 60040 61304 71416 73720 76630 85880 87688 89270 109610 120080 122608 142832 145597 147440 153260 169613 171760 175376 178540 208259 219220 291194 306520 339226 357080 416518 438440 582388 613040 678452 714160 727985 833036 848065 865919 876880 1041295 1164776 1356904 1455970 1666072 1696130 1731838 2082590 2329552 2713808 2911940 3332144 3392260 3463676 4165180 4329595 5823880 6784520 6927352 8330360 8659190 11647760 13569040 13854704 16452461 16660720 17318380 32904922 34636760 65809844 69273520 82262305 131619688 164524610 263239376 329049220 658098440 1316196880