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1360331616 = 25373975099
BaseRepresentation
bin101000100010101…
…0000001101100000
310111210201000011110
41101011100031200
510241221102431
6342552343320
745465425250
oct12105201540
93453630143
101360331616
11638965306
1231b6a4b40
13188a9cb67
14cc947960
157e65b346
hex51150360

1360331616 has 96 divisors (see below), whose sum is σ = 4092076800. Its totient is φ = 387611136.

The previous prime is 1360331611. The next prime is 1360331627. The reversal of 1360331616 is 6161330631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1360331611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264235 + ... + 269333.

It is an arithmetic number, because the mean of its divisors is an integer number (42625800).

Almost surely, 21360331616 is an apocalyptic number.

1360331616 is a gapful number since it is divisible by the number (16) 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 1360331616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046038400).

1360331616 is an abundant number, since it is smaller than the sum of its proper divisors (2731745184).

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

1360331616 is a wasteful number, since it uses less digits than its factorization.

1360331616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 1360331616 is about 36882.6736557967. The cubic root of 1360331616 is about 1108.0216949794.

The spelling of 1360331616 in words is "one billion, three hundred sixty million, three hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 397 672 794 1191 1588 2382 2779 3176 4764 5099 5558 6352 8337 9528 10198 11116 12704 15297 16674 19056 20396 22232 30594 33348 35693 38112 40792 44464 61188 66696 71386 81584 88928 107079 122376 133392 142772 163168 214158 244752 266784 285544 428316 489504 571088 856632 1142176 1713264 2024303 3426528 4048606 6072909 8097212 12145818 14170121 16194424 24291636 28340242 32388848 42510363 48583272 56680484 64777696 85020726 97166544 113360968 170041452 194333088 226721936 340082904 453443872 680165808 1360331616