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13435065 = 34572677
BaseRepresentation
bin110011010000…
…000010111001
3221021120110000
4303100002321
511414410230
61155543213
7222124200
oct63200271
927246400
1013435065
117646a66
1245bab09
132a25257
141ada237
1512a5b60
hexcd00b9

13435065 has 60 divisors (see below), whose sum is σ = 28056996. Its totient is φ = 6132672.

The previous prime is 13435061. The next prime is 13435069. The reversal of 13435065 is 56053431.

It is an interprime number because it is at equal distance from previous prime (13435061) and next prime (13435069).

It can be written as a sum of positive squares in 2 ways, for example, as 10323369 + 3111696 = 3213^2 + 1764^2 .

It is not a de Polignac number, because 13435065 - 22 = 13435061 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 (13435061) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19507 + ... + 20183.

Almost surely, 213435065 is an apocalyptic number.

13435065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13435065 is an abundant number, since it is smaller than the sum of its proper divisors (14621931).

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

13435065 is an equidigital number, since it uses as much as digits as its factorization.

13435065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 13435065 is about 3665.3874283628. The cubic root of 13435065 is about 237.7277740968.

Adding to 13435065 its reverse (56053431), we get a palindrome (69488496).

The spelling of 13435065 in words is "thirteen million, four hundred thirty-five thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 567 677 735 945 1323 2031 2205 2835 3385 3969 4739 6093 6615 10155 14217 18279 19845 23695 30465 33173 42651 54837 71085 91395 99519 127953 165865 213255 274185 298557 383859 497595 639765 895671 1492785 1919295 2687013 4478355 13435065