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13045305 = 3571319503
BaseRepresentation
bin110001110000…
…111000111001
3220112202210110
4301300320321
511314422210
61143334533
7215611650
oct61607071
926482713
1013045305
117400149
124451449
132919a20
141a38197
15122a420
hexc70e39

13045305 has 64 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 5204736.

The previous prime is 13045303. The next prime is 13045309. The reversal of 13045305 is 50354031.

13045305 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 13045305 - 21 = 13045303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13045303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25684 + ... + 26186.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 213045305 is an apocalyptic number.

13045305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13045305 is an abundant number, since it is smaller than the sum of its proper divisors (14049735).

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

13045305 is a wasteful number, since it uses less digits than its factorization.

13045305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 13045305 is about 3611.8284842999. The cubic root of 13045305 is about 235.4062987924.

Adding to 13045305 its reverse (50354031), we get a palindrome (63399336).

The spelling of 13045305 in words is "thirteen million, forty-five thousand, three hundred five".

Divisors: 1 3 5 7 13 15 19 21 35 39 57 65 91 95 105 133 195 247 273 285 399 455 503 665 741 1235 1365 1509 1729 1995 2515 3521 3705 5187 6539 7545 8645 9557 10563 17605 19617 25935 28671 32695 45773 47785 52815 66899 98085 124241 137319 143355 200697 228865 334495 372723 621205 686595 869687 1003485 1863615 2609061 4348435 13045305