Search a number
-
+
1368398745 = 33572316673
BaseRepresentation
bin101000110010000…
…0001101110011001
310112100212212012000
41101210001232121
510300302224440
6343441311213
745624124500
oct12144015631
93470785160
101368398745
1164247525a
12322335509
1318a6659cc
14cda47837
1580201730
hex51901b99

1368398745 has 96 divisors (see below), whose sum is σ = 2921610240. Its totient is φ = 605283840.

The previous prime is 1368398743. The next prime is 1368398767. The reversal of 1368398745 is 5478938631.

It is not a de Polignac number, because 1368398745 - 21 = 1368398743 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1368398691 and 1368398700.

It is not an unprimeable number, because it can be changed into a prime (1368398743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201729 + ... + 208401.

It is an arithmetic number, because the mean of its divisors is an integer number (30433440).

Almost surely, 21368398745 is an apocalyptic number.

1368398745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1368398745 is an abundant number, since it is smaller than the sum of its proper divisors (1553211495).

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

1368398745 is a wasteful number, since it uses less digits than its factorization.

1368398745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732 (or 6719 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 1368398745 is about 36991.8740401186. The cubic root of 1368398745 is about 1110.2076675005.

The spelling of 1368398745 in words is "one billion, three hundred sixty-eight million, three hundred ninety-eight thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 49 63 93 105 135 147 155 189 217 245 279 315 441 465 651 735 837 945 1085 1323 1395 1519 1953 2205 3255 4185 4557 5859 6615 6673 7595 9765 13671 20019 22785 29295 33365 41013 46711 60057 68355 100095 140133 180171 205065 206863 233555 300285 326977 420399 620589 700665 900855 980931 1034315 1261197 1448041 1634885 1861767 2101995 2942793 3102945 4344123 4904655 5585301 6305985 7240205 8828379 9308835 10136287 13032369 14713965 21720615 27926505 30408861 39097107 44141895 50681435 65161845 91226583 152044305 195485535 273679749 456132915 1368398745