Search a number
-
+
1289412608 = 2131141349
BaseRepresentation
bin100110011011010…
…1110000000000000
310022212020221120112
41030312232000000
510120042200413
6331540330452
743644553301
oct11466560000
93285227515
101289412608
11601926860
122bb9a3a28
1317719bc53
14c33667a8
15782ed2a8
hex4cdae000

1289412608 has 112 divisors (see below), whose sum is σ = 2889961200. Its totient is φ = 570163200.

The previous prime is 1289412601. The next prime is 1289412613. The reversal of 1289412608 is 8062149821.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1289412601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3694418 + ... + 3694766.

It is an arithmetic number, because the mean of its divisors is an integer number (25803225).

Almost surely, 21289412608 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 1289412608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444980600).

1289412608 is an abundant number, since it is smaller than the sum of its proper divisors (1600548592).

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

1289412608 is an equidigital number, since it uses as much as digits as its factorization.

1289412608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 1289412608 is about 35908.3918882481. The cubic root of 1289412608 is about 1088.4219816417.

The spelling of 1289412608 in words is "one billion, two hundred eighty-nine million, four hundred twelve thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 349 352 451 512 656 698 704 902 1024 1312 1396 1408 1804 2048 2624 2792 2816 3608 3839 4096 5248 5584 5632 7216 7678 8192 10496 11168 11264 14309 14432 15356 20992 22336 22528 28618 28864 30712 41984 44672 45056 57236 57728 61424 83968 89344 90112 114472 115456 122848 157399 167936 178688 228944 230912 245696 314798 335872 357376 457888 461824 491392 629596 714752 915776 923648 982784 1259192 1429504 1831552 1847296 1965568 2518384 2859008 3663104 3694592 3931136 5036768 7326208 7862272 10073536 14652416 15724544 20147072 29304832 31449088 40294144 58609664 80588288 117219328 161176576 322353152 644706304 1289412608