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1080317360 = 245172334537
BaseRepresentation
bin100000001100100…
…0101010110110000
32210021210210211002
41000121011112300
54203030123420
6255110541132
735525355203
oct10031052660
92707723732
101080317360
115048a1471
122619677a8
13142a7bb55
14a369793a
1564c99075
hex406455b0

1080317360 has 80 divisors (see below), whose sum is σ = 2775197376. Its totient is φ = 389013504.

The previous prime is 1080317353. The next prime is 1080317369. The reversal of 1080317360 is 637130801.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1080317369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14012 + ... + 48548.

Almost surely, 21080317360 is an apocalyptic number.

1080317360 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 1080317360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387598688).

1080317360 is an abundant number, since it is smaller than the sum of its proper divisors (1694880016).

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

1080317360 is a wasteful number, since it uses less digits than its factorization.

1080317360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34590 (or 34584 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 1080317360 is about 32868.1815742824. The cubic root of 1080317360 is about 1026.0860540837.

The spelling of 1080317360 in words is "one billion, eighty million, three hundred seventeen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1360 1564 1840 1955 3128 3910 6256 7820 15640 31280 34537 69074 138148 172685 276296 345370 552592 587129 690740 794351 1174258 1381480 1588702 2348516 2762960 2935645 3177404 3971755 4697032 5871290 6354808 7943510 9394064 11742580 12709616 13503967 15887020 23485160 27007934 31774040 46970320 54015868 63548080 67519835 108031736 135039670 216063472 270079340 540158680 1080317360