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1274306985 = 34572157409
BaseRepresentation
bin100101111110100…
…0110000110101001
310021210211111120000
41023331012012221
510102210310420
6330240453213
743402300500
oct11375060651
93253744500
101274306985
115a4349776
122b691a209
13174010503
14c1353837
1576d17690
hex4bf461a9

1274306985 has 120 divisors (see below), whose sum is σ = 2680725960. Its totient is φ = 577414656.

The previous prime is 1274306941. The next prime is 1274306993. The reversal of 1274306985 is 5896034721.

1274306985 is a `hidden beast` number, since 127 + 430 + 6 + 98 + 5 = 666.

1274306985 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 250050969 + 1024256016 = 15813^2 + 32004^2 .

It is not a de Polignac number, because 1274306985 - 28 = 1274306729 is a prime.

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

1274306985 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 1274306985.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3115461 + ... + 3115869.

It is an arithmetic number, because the mean of its divisors is an integer number (22339383).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1274306985 = 2548613970, but 3⋅1274306985 = 3822920955 is not.

It is a vampire number, since it can be written as 1840569237 (with its own digits).

Almost surely, 21274306985 is an apocalyptic number.

1274306985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1274306985 is an abundant number, since it is smaller than the sum of its proper divisors (1406418975).

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

1274306985 is a wasteful number, since it uses less digits than its factorization.

1274306985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 581 counting only the distinct ones).

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

The square root of 1274306985 is about 35697.4366726800. The cubic root of 1274306985 is about 1084.1549437995.

The spelling of 1274306985 in words is "one billion, two hundred seventy-four million, three hundred six thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 157 189 245 315 405 409 441 471 567 735 785 945 1099 1227 1323 1413 2045 2205 2355 2835 2863 3297 3681 3969 4239 5495 6135 6615 7065 7693 8589 9891 11043 12717 14315 16485 18405 19845 20041 21195 23079 25767 29673 33129 38465 42945 49455 55215 60123 63585 64213 69237 77301 89019 100205 115395 128835 148365 165645 180369 192639 207711 231903 300615 321065 346185 386505 445095 449491 541107 577917 623133 901845 963195 1038555 1159515 1348473 1623321 1733751 2247455 2705535 2889585 3115665 3146437 4045419 5201253 6742365 8116605 8668755 9439311 12136257 15732185 20227095 26006265 28317933 36408771 47196555 60681285 84953799 141589665 182043855 254861397 424768995 1274306985