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1108416640 = 27510915889
BaseRepresentation
bin100001000010001…
…0001100010000000
32212020200101210011
41002010101202000
54232223313030
6301553114304
736316246252
oct10204214200
92766611704
101108416640
11519743911
1226b258994
13148839946
14a72cdcd2
1567499b2a
hex42111880

1108416640 has 64 divisors (see below), whose sum is σ = 2674287000. Its totient is φ = 439271424.

The previous prime is 1108416619. The next prime is 1108416679. The reversal of 1108416640 is 466148011.

It can be written as a sum of positive squares in 4 ways, for example, as 842857024 + 265559616 = 29032^2 + 16296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61816 + ... + 77704.

Almost surely, 21108416640 is an apocalyptic number.

1108416640 is a gapful number since it is divisible by the number (10) 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 1108416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337143500).

1108416640 is an abundant number, since it is smaller than the sum of its proper divisors (1565870360).

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

1108416640 is a wasteful number, since it uses less digits than its factorization.

1108416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16017 (or 16005 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 1108416640 is about 33292.8917338221. The cubic root of 1108416640 is about 1034.9062561442.

The spelling of 1108416640 in words is "one billion, one hundred eight million, four hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 320 436 545 640 872 1090 1744 2180 3488 4360 6976 8720 13952 15889 17440 31778 34880 63556 69760 79445 127112 158890 254224 317780 508448 635560 1016896 1271120 1731901 2033792 2542240 3463802 5084480 6927604 8659505 10168960 13855208 17319010 27710416 34638020 55420832 69276040 110841664 138552080 221683328 277104160 554208320 1108416640