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1366360072 = 2371121910613
BaseRepresentation
bin101000101110001…
…0000000000001000
310112020001021122121
41101130100000020
510244242010242
6343325501024
745600604030
oct12134200010
93466037577
101366360072
11641302600
12321711774
1318a100aac
14cd6768c0
157ee4c667
hex51710008

1366360072 has 96 divisors (see below), whose sum is σ = 3387988800. Its totient is φ = 504282240.

The previous prime is 1366360067. The next prime is 1366360117. The reversal of 1366360072 is 2700636631.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123438 + ... + 134050.

It is an arithmetic number, because the mean of its divisors is an integer number (35291550).

Almost surely, 21366360072 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 1366360072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693994400).

1366360072 is an abundant number, since it is smaller than the sum of its proper divisors (2021628728).

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

1366360072 is a wasteful number, since it uses less digits than its factorization.

1366360072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10667 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 1366360072 is about 36964.3080822569. The cubic root of 1366360072 is about 1109.6560555445.

The spelling of 1366360072 in words is "one billion, three hundred sixty-six million, three hundred sixty thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 121 133 152 154 209 242 266 308 418 484 532 616 836 847 968 1064 1463 1672 1694 2299 2926 3388 4598 5852 6776 9196 10613 11704 16093 18392 21226 32186 42452 64372 74291 84904 116743 128744 148582 201647 233486 297164 403294 466972 594328 806588 817201 933944 1284173 1411529 1613176 1634402 2218117 2568346 2823058 3268804 4436234 5136692 5646116 6537608 8872468 8989211 10273384 11292232 15526819 17744936 17978422 24399287 31053638 35956844 48798574 62107276 71913688 97597148 124214552 170795009 195194296 341590018 683180036 1366360072