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1079128116 = 2233111038819
BaseRepresentation
bin100000001010010…
…0011000000110100
32210012120101111000
41000110203000310
54202224044431
6255025243300
735512303053
oct10024430064
92705511430
101079128116
11504159a20
12261493530
13142753761
14a346839a
1564b119e6
hex40523034

1079128116 has 96 divisors (see below), whose sum is σ = 3082060800. Its totient is φ = 323796960.

The previous prime is 1079128097. The next prime is 1079128139. The reversal of 1079128116 is 6118219701.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117955 + ... + 126773.

It is an arithmetic number, because the mean of its divisors is an integer number (32104800).

Almost surely, 21079128116 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 1079128116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541030400).

1079128116 is an abundant number, since it is smaller than the sum of its proper divisors (2002932684).

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

1079128116 is a wasteful number, since it uses less digits than its factorization.

1079128116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8946 (or 8938 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The square root of 1079128116 is about 32850.0854793408. The cubic root of 1079128116 is about 1025.7094009598.

The spelling of 1079128116 in words is "one billion, seventy-nine million, one hundred twenty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 103 108 132 198 206 297 309 396 412 594 618 927 1133 1188 1236 1854 2266 2781 3399 3708 4532 5562 6798 8819 10197 11124 13596 17638 20394 26457 30591 35276 40788 52914 61182 79371 97009 105828 122364 158742 194018 238113 291027 317484 388036 476226 582054 873081 908357 952452 1164108 1746162 1816714 2619243 2725071 3492324 3633428 5238486 5450142 8175213 9991927 10476972 10900284 16350426 19983854 24525639 29975781 32700852 39967708 49051278 59951562 89927343 98102556 119903124 179854686 269782029 359709372 539564058 1079128116