Search a number
-
+
1079472768 = 27311833079
BaseRepresentation
bin100000001010111…
…0111001010000000
32210020012220020220
41000111313022000
54202321112033
6255040503040
735515236633
oct10025671200
92706186226
101079472768
11504374960
1226161aa80
131428445aa
14a3517c1a
1564b7dbb3
hex40577280

1079472768 has 128 divisors (see below), whose sum is σ = 3166732800. Its totient is φ = 323066880.

The previous prime is 1079472767. The next prime is 1079472839. The reversal of 1079472768 is 8672749701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10794727682 = 2330522913707163648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1079472768.

It is not an unprimeable number, because it can be changed into a prime (1079472763) 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 15 ways as a sum of consecutive naturals, for example, 349053 + ... + 352131.

It is an arithmetic number, because the mean of its divisors is an integer number (24740100).

Almost surely, 21079472768 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 1079472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583366400).

1079472768 is an abundant number, since it is smaller than the sum of its proper divisors (2087260032).

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

1079472768 is a wasteful number, since it uses less digits than its factorization.

1079472768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The square root of 1079472768 is about 32855.3308916529. The cubic root of 1079472768 is about 1025.8185863793.

The spelling of 1079472768 in words is "one billion, seventy-nine million, four hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 128 132 166 176 192 249 264 332 352 384 498 528 664 704 913 996 1056 1328 1408 1826 1992 2112 2656 2739 3079 3652 3984 4224 5312 5478 6158 7304 7968 9237 10624 10956 12316 14608 15936 18474 21912 24632 29216 31872 33869 36948 43824 49264 58432 67738 73896 87648 98528 101607 116864 135476 147792 175296 197056 203214 255557 270952 295584 350592 394112 406428 511114 541904 591168 766671 812856 1022228 1083808 1182336 1533342 1625712 2044456 2167616 2811127 3066684 3251424 4088912 4335232 5622254 6133368 6502848 8177824 8433381 11244508 12266736 13005696 16355648 16866762 22489016 24533472 32711296 33733524 44978032 49066944 67467048 89956064 98133888 134934096 179912128 269868192 359824256 539736384 1079472768