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13273065 = 345132521
BaseRepresentation
bin110010101000…
…011111101001
3220222100020000
4302220133221
511344214230
61152253213
7220550661
oct62503751
926870200
1013273065
117546283
124541209
1329995b0
141a971a1
151272b60
hexca87e9

13273065 has 40 divisors (see below), whose sum is σ = 25633608. Its totient is φ = 6531840.

The previous prime is 13273049. The next prime is 13273067. The reversal of 13273065 is 56037231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 826281 + 12446784 = 909^2 + 3528^2 .

It is not a de Polignac number, because 13273065 - 24 = 13273049 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (13273067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4005 + ... + 6525.

Almost surely, 213273065 is an apocalyptic number.

13273065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13273065 is a deficient number, since it is larger than the sum of its proper divisors (12360543).

13273065 is a wasteful number, since it uses less digits than its factorization.

13273065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2542 counting only the distinct ones).

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

The square root of 13273065 is about 3643.2217884724. The cubic root of 13273065 is about 236.7684005744.

The spelling of 13273065 in words is "thirteen million, two hundred seventy-three thousand, sixty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 2521 5265 7563 12605 22689 32773 37815 68067 98319 113445 163865 204201 294957 340335 491595 884871 1021005 1474785 2654613 4424355 13273065