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1079114868 = 22321322910069
BaseRepresentation
bin100000001010001…
…1111110001110100
32210012112201022100
41000110133301310
54202223133433
6255025102100
735512216326
oct10024376164
92705481270
101079114868
1150414aa77
12261487930
1314274a710
14a3463616
1564b0cb13
hex4051fc74

1079114868 has 72 divisors (see below), whose sum is σ = 2950711400. Its totient is φ = 330552576.

The previous prime is 1079114863. The next prime is 1079114891. The reversal of 1079114868 is 8684119701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 112402404 + 966712464 = 10602^2 + 31092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079114863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102138 + ... + 112206.

Almost surely, 21079114868 is an apocalyptic number.

1079114868 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 1079114868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475355700).

1079114868 is an abundant number, since it is smaller than the sum of its proper divisors (1871596532).

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

1079114868 is a wasteful number, since it uses less digits than its factorization.

1079114868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10321 (or 10316 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1079114868 is about 32849.8838354110. The cubic root of 1079114868 is about 1025.7052035423.

The spelling of 1079114868 in words is "one billion, seventy-nine million, one hundred fourteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 229 234 458 468 687 916 1374 2061 2748 2977 4122 5954 8244 8931 10069 11908 17862 20138 26793 30207 35724 40276 53586 60414 90621 107172 120828 130897 181242 261794 362484 392691 523588 785382 1178073 1570764 2305801 2356146 4611602 4712292 6917403 9223204 13834806 20752209 27669612 29975413 41504418 59950826 83008836 89926239 119901652 179852478 269778717 359704956 539557434 1079114868