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1069382475 = 325277173131
BaseRepresentation
bin111111101111010…
…111101101001011
32202112020020222100
4333233113231023
54142230214400
6254040324443
735333413110
oct7757275513
92675206870
101069382475
114a9702977
1225a173723
131407208c5
14a204c907
1563d39100
hex3fbd7b4b

1069382475 has 144 divisors (see below), whose sum is σ = 2267426304. Its totient is φ = 471744000.

The previous prime is 1069382471. The next prime is 1069382497. The reversal of 1069382475 is 5742839601.

1069382475 is a `hidden beast` number, since 10 + 6 + 93 + 82 + 475 = 666.

1069382475 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 1069382475 - 22 = 1069382471 is a prime.

It is a super-2 number, since 2×10693824752 = 2287157755674251250, which contains 22 as substring.

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

1069382475 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1069382475.

It is not an unprimeable number, because it can be changed into a prime (1069382471) 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, 8163160 + ... + 8163290.

It is an arithmetic number, because the mean of its divisors is an integer number (15746016).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1069382475 = 2138764950, but 3⋅1069382475 = 3208147425 is not.

Almost surely, 21069382475 is an apocalyptic number.

1069382475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1069382475 is an abundant number, since it is smaller than the sum of its proper divisors (1198043829).

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

1069382475 is a wasteful number, since it uses less digits than its factorization.

1069382475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

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

The square root of 1069382475 is about 32701.4139602556. The cubic root of 1069382475 is about 1022.6123206020.

The spelling of 1069382475 in words is "one billion, sixty-nine million, three hundred eighty-two thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 71 73 75 105 131 175 213 219 225 315 355 365 393 497 511 525 639 655 657 917 1065 1095 1179 1491 1533 1575 1775 1825 1965 2485 2555 2751 3195 3275 3285 4473 4585 4599 5183 5325 5475 5895 7455 7665 8253 9301 9563 9825 12425 12775 13755 15549 15975 16425 22365 22925 22995 25915 27903 28689 29475 36281 37275 38325 41265 46505 46647 47815 65107 66941 68775 77745 83709 86067 108843 111825 114975 129575 139515 143445 181405 195321 200823 206325 232525 233235 239075 325535 326529 334705 388725 418545 430335 544215 585963 602469 678973 697575 717225 907025 976605 1004115 1166175 1627675 1632645 1673525 2036919 2092725 2151675 2721075 2929815 3012345 3394865 4752811 4883025 5020575 6110757 8163225 10184595 14258433 14649075 15061725 16974325 23764055 30553785 42775299 50922975 71292165 118820275 152768925 213876495 356460825 1069382475