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1079127468 = 22332921092
BaseRepresentation
bin100000001010010…
…0010110110101100
32210012120100121000
41000110202312230
54202224034333
6255025240300
735512301136
oct10024426654
92705510530
101079127468
11504159491
12261493090
13142753383
14a3468056
1564b11713
hex40522dac

1079127468 has 108 divisors (see below), whose sum is σ = 2924365080. Its totient is φ = 344119104.

The previous prime is 1079127457. The next prime is 1079127481. The reversal of 1079127468 is 8647219701.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9900198 + ... + 9900306.

Almost surely, 21079127468 is an apocalyptic number.

1079127468 is a gapful number since it is divisible by the number (18) 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 1079127468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462182540).

1079127468 is an abundant number, since it is smaller than the sum of its proper divisors (1845237612).

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

1079127468 is a wasteful number, since it uses less digits than its factorization.

1079127468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1079127468 is about 32850.0756163513. The cubic root of 1079127468 is about 1025.7091956521.

The spelling of 1079127468 in words is "one billion, seventy-nine million, one hundred twenty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 109 116 174 218 261 327 348 436 522 654 783 841 981 1044 1308 1566 1682 1962 2523 2943 3132 3161 3364 3924 5046 5886 6322 7569 9483 10092 11772 11881 12644 15138 18966 22707 23762 28449 30276 35643 37932 45414 47524 56898 71286 85347 90828 91669 106929 113796 142572 170694 183338 213858 275007 320787 341388 344549 366676 427716 550014 641574 689098 825021 1033647 1100028 1283148 1378196 1650042 2067294 2475063 3100941 3300084 4134588 4950126 6201882 9302823 9900252 9991921 12403764 18605646 19983842 29975763 37211292 39967684 59951526 89927289 119903052 179854578 269781867 359709156 539563734 1079127468