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13064733 = 341123143
BaseRepresentation
bin110001110101…
…101000011101
3220120202110000
4301311220131
511321032413
61144004513
7216022413
oct61655035
926522400
1013064733
117413800
124460739
132925816
141a412b3
151231073
hexc75a1d

13064733 has 60 divisors (see below), whose sum is σ = 22658944. Its totient is φ = 7484400.

The previous prime is 13064719. The next prime is 13064741. The reversal of 13064733 is 33746031.

It is a happy number.

13064733 is a `hidden beast` number, since 13 + 0 + 647 + 3 + 3 = 666.

It is not a de Polignac number, because 13064733 - 24 = 13064717 is a prime.

It is a super-2 number, since 2×130647332 = 341374496722578, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 13064697 and 13064706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13064033) 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 59 ways as a sum of consecutive naturals, for example, 303810 + ... + 303852.

Almost surely, 213064733 is an apocalyptic number.

It is an amenable number.

13064733 is a deficient number, since it is larger than the sum of its proper divisors (9594211).

13064733 is a wasteful number, since it uses less digits than its factorization.

13064733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 13064733 is about 3614.5169801787. The cubic root of 13064733 is about 235.5231021192.

The spelling of 13064733 in words is "thirteen million, sixty-four thousand, seven hundred thirty-three".

Divisors: 1 3 9 11 27 31 33 43 81 93 99 121 129 279 297 341 363 387 473 837 891 1023 1089 1161 1333 1419 2511 3069 3267 3483 3751 3999 4257 5203 9207 9801 11253 11997 12771 14663 15609 27621 33759 35991 38313 43989 46827 101277 107973 131967 140481 161293 303831 395901 421443 483879 1187703 1451637 4354911 13064733