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13268205 = 3451812
BaseRepresentation
bin110010100111…
…010011101101
3220222002120000
4302213103231
511344040310
61152214513
7220530546
oct62472355
926862500
1013268205
117542665
12453a439
132997312
141a954cd
1512714c0
hexca74ed

13268205 has 30 divisors (see below), whose sum is σ = 23916618. Its totient is φ = 7037280.

The previous prime is 13268201. The next prime is 13268231. The reversal of 13268205 is 50286231.

It can be written as a sum of positive squares in 3 ways, for example, as 1633284 + 11634921 = 1278^2 + 3411^2 .

It is not a de Polignac number, because 13268205 - 22 = 13268201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13268201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 73215 + ... + 73395.

Almost surely, 213268205 is an apocalyptic number.

13268205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13268205 is a deficient number, since it is larger than the sum of its proper divisors (10648413).

13268205 is an frugal number, since it uses more digits than its factorization.

13268205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13268205 is about 3642.5547353472. The cubic root of 13268205 is about 236.7394990635.

Multiplying 13268205 by its product of nonzero digits (2880), we get a square (38212430400 = 1954802).

The spelling of 13268205 in words is "thirteen million, two hundred sixty-eight thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 181 405 543 905 1629 2715 4887 8145 14661 24435 32761 73305 98283 163805 294849 491415 884547 1474245 2653641 4422735 13268205