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1074369825 = 355217101103
BaseRepresentation
bin100000000001001…
…1001010100100001
32202212121122100000
41000002121110201
54200014313300
6254335250213
735423664354
oct10002312441
92685548300
101074369825
115014a9a51
1225b979969
131417789b9
14a298a29b
15644c1c00
hex40099521

1074369825 has 144 divisors (see below), whose sum is σ = 2154612096. Its totient is φ = 528768000.

The previous prime is 1074369823. The next prime is 1074369841. The reversal of 1074369825 is 5289634701.

1074369825 is a `hidden beast` number, since 107 + 436 + 98 + 25 = 666.

1074369825 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1074369825 - 21 = 1074369823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

1074369825 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1074369823) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10430724 + ... + 10430826.

It is an arithmetic number, because the mean of its divisors is an integer number (14962584).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1074369825 = 2148739650, but 3⋅1074369825 = 3223109475 is not.

Almost surely, 21074369825 is an apocalyptic number.

1074369825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1074369825 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

1074369825 is a wasteful number, since it uses less digits than its factorization.

1074369825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1074369825 is about 32777.5811340617. The cubic root of 1074369825 is about 1024.1995972336.

The spelling of 1074369825 in words is "one billion, seventy-four million, three hundred sixty-nine thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 101 103 135 153 225 243 255 303 309 405 425 459 505 515 675 765 909 927 1215 1275 1377 1515 1545 1717 1751 2025 2295 2525 2575 2727 2781 3825 4131 4545 4635 5151 5253 6075 6885 7575 7725 8181 8343 8585 8755 10403 11475 13635 13905 15453 15759 20655 22725 23175 24543 25029 25755 26265 31209 34425 40905 41715 42925 43775 46359 47277 52015 68175 69525 77265 78795 93627 103275 122715 125145 128775 131325 139077 141831 156045 176851 204525 208575 231795 236385 260075 280881 386325 393975 417231 425493 468135 530553 613575 625725 695385 709155 780225 842643 884255 1158975 1181925 1404405 1591659 2086155 2127465 2340675 2527929 2652765 3476925 3545775 4213215 4421275 4774977 7022025 7958295 10430775 10637325 12639645 13263825 14324931 21066075 23874885 39791475 42974793 63198225 71624655 119374425 214873965 358123275 1074369825