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1835920485 = 34572711303
BaseRepresentation
bin110110101101101…
…1110110001100101
311201221121102110000
41231123132301211
512224443423420
6502102051513
763332031600
oct15533366145
94657542400
101835920485
11862369263
12432a19b99
13233488aa9
14135b87337
15ab2a1690
hex6d6dec65

1835920485 has 120 divisors (see below), whose sum is σ = 3885273216. Its totient is φ = 826822080.

The previous prime is 1835920453. The next prime is 1835920507. The reversal of 1835920485 is 5840295381.

1835920485 is a `hidden beast` number, since 1 + 83 + 5 + 92 + 0 + 485 = 666.

It is not a de Polignac number, because 1835920485 - 25 = 1835920453 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1835920485.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1408344 + ... + 1409646.

Almost surely, 21835920485 is an apocalyptic number.

1835920485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1835920485 is an abundant number, since it is smaller than the sum of its proper divisors (2049352731).

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

1835920485 is a wasteful number, since it uses less digits than its factorization.

1835920485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1835920485 is about 42847.6427006201. The cubic root of 1835920485 is about 1224.4788531520.

The spelling of 1835920485 in words is "one billion, eight hundred thirty-five million, nine hundred twenty thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 71 81 105 135 147 189 213 245 315 355 405 441 497 567 639 735 945 1065 1303 1323 1491 1917 2205 2485 2835 3195 3479 3909 3969 4473 5751 6515 6615 7455 9121 9585 10437 11727 13419 17395 19545 19845 22365 27363 28755 31311 35181 40257 45605 52185 58635 63847 67095 82089 92513 93933 105543 136815 156555 175905 191541 201285 246267 277539 281799 319235 410445 462565 469665 527715 574623 647591 738801 832617 957705 1231335 1387695 1408995 1723869 1942773 2497851 2873115 3237955 3694005 4163085 4533137 5171607 5828319 7493553 8619345 9713865 12489255 13599411 17484957 22665685 25858035 29141595 37467765 40798233 52454871 67997055 87424785 122394699 203991165 262274355 367184097 611973495 1835920485