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13263705 = 3257134179
BaseRepresentation
bin110010100110…
…001101011001
3220221212101100
4302212031121
511343414310
61152142013
7220511460
oct62461531
926855340
1013263705
11753a244
124537909
132995260
141a939d7
15126eec0
hexca6359

13263705 has 96 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 5391360.

The previous prime is 13263703. The next prime is 13263713. The reversal of 13263705 is 50736231.

It is a happy number.

13263705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13263705 - 21 = 13263703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13263703) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167856 + ... + 167934.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 213263705 is an apocalyptic number.

13263705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13263705 is an abundant number, since it is smaller than the sum of its proper divisors (16089255).

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

13263705 is a wasteful number, since it uses less digits than its factorization.

13263705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 13263705 is about 3641.9369846278. The cubic root of 13263705 is about 236.7127321118.

Adding to 13263705 its reverse (50736231), we get a palindrome (63999936).

The spelling of 13263705 in words is "thirteen million, two hundred sixty-three thousand, seven hundred five".

Divisors: 1 3 5 7 9 13 15 21 35 39 41 45 63 65 79 91 105 117 123 195 205 237 273 287 315 369 395 455 533 553 585 615 711 819 861 1027 1185 1365 1435 1599 1659 1845 2583 2665 2765 3081 3239 3555 3731 4095 4305 4797 4977 5135 7189 7995 8295 9243 9717 11193 12915 15405 16195 18655 21567 22673 23985 24885 29151 33579 35945 42107 46215 48585 55965 64701 68019 107835 113365 126321 145755 167895 204057 210535 294749 323505 340095 378963 631605 884247 1020285 1473745 1894815 2652741 4421235 13263705