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13005324 = 22322411499
BaseRepresentation
bin110001100111…
…001000001100
3220110201221200
4301213020030
511312132244
61142425500
7215354253
oct61471014
926421850
1013005324
117383102
124432290
132904777
141a2779a
15121d669
hexc6720c

13005324 has 36 divisors (see below), whose sum is σ = 33033000. Its totient is φ = 4314240.

The previous prime is 13005319. The next prime is 13005331. The reversal of 13005324 is 42350031.

13005324 is a `hidden beast` number, since 130 + 0 + 532 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13005297 and 13005306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7927 + ... + 9425.

Almost surely, 213005324 is an apocalyptic number.

13005324 is the 1928-th nonagonal number.

It is an amenable number.

13005324 is an abundant number, since it is smaller than the sum of its proper divisors (20027676).

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

13005324 is a wasteful number, since it uses less digits than its factorization.

13005324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13005324 is about 3606.2895058495. The cubic root of 13005324 is about 235.1655631242.

Adding to 13005324 its reverse (42350031), we get a palindrome (55355355).

The spelling of 13005324 in words is "thirteen million, five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 723 964 1446 1499 2169 2892 2998 4338 4497 5996 8676 8994 13491 17988 26982 53964 361259 722518 1083777 1445036 2167554 3251331 4335108 6502662 13005324