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1485135405 = 34513311907
BaseRepresentation
bin101100010000101…
…0101111000101101
310211111112200210000
41120201111320231
511020143313110
6403211334513
751542304555
oct13041257055
93744480700
101485135405
116a2358236
12355451439
131a88b9460
14101354165
158a5b01c0
hex58855e2d

1485135405 has 80 divisors (see below), whose sum is σ = 2879420544. Its totient is φ = 727989120.

The previous prime is 1485135403. The next prime is 1485135427. The reversal of 1485135405 is 5045315841.

1485135405 is a `hidden beast` number, since 1 + 485 + 135 + 40 + 5 = 666.

It is not a de Polignac number, because 1485135405 - 21 = 1485135403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1485135405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1485135403) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1636962 + ... + 1637868.

Almost surely, 21485135405 is an apocalyptic number.

1485135405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1485135405 is a deficient number, since it is larger than the sum of its proper divisors (1394285139).

1485135405 is a wasteful number, since it uses less digits than its factorization.

1485135405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 1485135405 is about 38537.4545734406. The cubic root of 1485135405 is about 1140.9204131865.

The spelling of 1485135405 in words is "one billion, four hundred eighty-five million, one hundred thirty-five thousand, four hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 311 351 405 585 907 933 1053 1555 1755 2721 2799 4043 4535 4665 5265 8163 8397 11791 12129 13605 13995 20215 24489 25191 35373 36387 40815 41985 58955 60645 73467 106119 109161 122445 125955 176865 181935 282077 318357 327483 367335 530595 545805 846231 955071 1410385 1591785 1637415 2538693 3667001 4231155 4775355 7616079 11001003 12693465 18335005 22848237 33003009 38080395 55005015 99009027 114241185 165015045 297027081 495045135 1485135405