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1317930912 = 2535237369
BaseRepresentation
bin100111010001110…
…0000011110100000
310101211220211100000
41032203200132200
510144342242122
6334435500000
744442141114
oct11643403640
93354824300
101317930912
11616a35001
12309457600
1318007569c
14c706b744
157aa830ac
hex4e8e07a0

1317930912 has 144 divisors (see below), whose sum is σ = 4056212160. Its totient is φ = 420152832.

The previous prime is 1317930883. The next prime is 1317930919. The reversal of 1317930912 is 2190397131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1317930919) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 175164 + ... + 182532.

It is an arithmetic number, because the mean of its divisors is an integer number (28168140).

Almost surely, 21317930912 is an apocalyptic number.

1317930912 is a gapful number since it is divisible by the number (12) 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 1317930912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028106080).

1317930912 is an abundant number, since it is smaller than the sum of its proper divisors (2738281248).

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

1317930912 is an equidigital number, since it uses as much as digits as its factorization.

1317930912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7417 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 1317930912 is about 36303.3181954487. The cubic root of 1317930912 is about 1096.3878517910.

The spelling of 1317930912 in words is "one billion, three hundred seventeen million, nine hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 243 276 288 324 368 414 432 486 552 621 648 736 828 864 972 1104 1242 1296 1656 1863 1944 2208 2484 2592 3312 3726 3888 4968 5589 6624 7369 7452 7776 9936 11178 14738 14904 19872 22107 22356 29476 29808 44214 44712 58952 59616 66321 88428 89424 117904 132642 169487 176856 178848 198963 235808 265284 338974 353712 397926 508461 530568 596889 677948 707424 795852 1016922 1061136 1193778 1355896 1525383 1591704 1790667 2033844 2122272 2387556 2711792 3050766 3183408 3581334 4067688 4576149 4775112 5423584 6101532 6366816 7162668 8135376 9152298 9550224 12203064 13728447 14325336 16270752 18304596 19100448 24406128 27456894 28650672 36609192 41185341 48812256 54913788 57301344 73218384 82370682 109827576 146436768 164741364 219655152 329482728 439310304 658965456 1317930912