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1120666064 = 2473375519
BaseRepresentation
bin100001011001100…
…0000000111010000
32220002201201211112
41002303000013100
54243342303224
6303111432452
736525335000
oct10263000720
92802651745
101120666064
11525650001
12273385728
1314b23831b
14a8b9c000
15685b930e
hex42cc01d0

1120666064 has 80 divisors (see below), whose sum is σ = 2601024000. Its totient is φ = 467220096.

The previous prime is 1120666051. The next prime is 1120666081. The reversal of 1120666064 is 4606660211.

It is a self number, because there is not a number n which added to its sum of digits gives 1120666064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200297 + ... + 205815.

It is an arithmetic number, because the mean of its divisors is an integer number (32512800).

Almost surely, 21120666064 is an apocalyptic number.

1120666064 is a gapful number since it is divisible by the number (14) 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 1120666064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300512000).

1120666064 is an abundant number, since it is smaller than the sum of its proper divisors (1480357936).

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

1120666064 is an equidigital number, since it uses as much as digits as its factorization.

1120666064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5585 (or 5565 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 1120666064 is about 33476.3508166586. The cubic root of 1120666064 is about 1038.7046446572.

The spelling of 1120666064 in words is "one billion, one hundred twenty million, six hundred sixty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 343 392 518 592 686 784 1036 1372 1813 2072 2744 3626 4144 5488 5519 7252 11038 12691 14504 22076 25382 29008 38633 44152 50764 77266 88304 101528 154532 203056 204203 270431 309064 408406 540862 618128 816812 1081724 1429421 1633624 1893017 2163448 2858842 3267248 3786034 4326896 5717684 7572068 10005947 11435368 15144136 20011894 22870736 30288272 40023788 70041629 80047576 140083258 160095152 280166516 560333032 1120666064