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13082355 = 325111319107
BaseRepresentation
bin110001111001…
…111011110011
3220121122121200
4301321323303
511322113410
61144222243
7216124656
oct61717363
926548550
1013082355
117425a70
12446a983
132930850
141a4789d
1512363c0
hexc79ef3

13082355 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 5495040.

The previous prime is 13082323. The next prime is 13082357. The reversal of 13082355 is 55328031.

13082355 is a `hidden beast` number, since 1 + 308 + 2 + 355 = 666.

It is not a de Polignac number, because 13082355 - 25 = 13082323 is a prime.

It is a super-2 number, since 2×130823552 = 342296024692050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13082357) 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, 122212 + ... + 122318.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 213082355 is an apocalyptic number.

13082355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13082355 is an abundant number, since it is smaller than the sum of its proper divisors (15222285).

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

13082355 is a wasteful number, since it uses less digits than its factorization.

13082355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 13082355 is about 3616.9538288455. The cubic root of 13082355 is about 235.6289474628.

It can be divided in two parts, 1308 and 2355, that added together give a palindrome (3663).

The spelling of 13082355 in words is "thirteen million, eighty-two thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 13 15 19 33 39 45 55 57 65 95 99 107 117 143 165 171 195 209 247 285 321 429 495 535 585 627 715 741 855 963 1045 1177 1235 1287 1391 1605 1881 2033 2145 2223 2717 3135 3531 3705 4173 4815 5885 6099 6435 6955 8151 9405 10165 10593 11115 12519 13585 15301 17655 18297 20865 22363 24453 26429 30495 40755 45903 52965 62595 67089 76505 79287 91485 111815 122265 132145 137709 201267 229515 237861 290719 335445 396435 688545 872157 1006335 1189305 1453595 2616471 4360785 13082355