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13066704 = 2433729149
BaseRepresentation
bin110001110110…
…000111010000
3220120212011000
4301312013100
511321113304
61144022000
7216031230
oct61660720
926525130
1013066704
117415232
124461900
1329266a1
141a41cc0
151231939
hexc761d0

13066704 has 160 divisors (see below), whose sum is σ = 44640000. Its totient is φ = 3580416.

The previous prime is 13066657. The next prime is 13066709. The reversal of 13066704 is 40766031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13066709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87622 + ... + 87770.

It is an arithmetic number, because the mean of its divisors is an integer number (279000).

Almost surely, 213066704 is an apocalyptic number.

13066704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13066704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320000).

13066704 is an abundant number, since it is smaller than the sum of its proper divisors (31573296).

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

13066704 is a wasteful number, since it uses less digits than its factorization.

13066704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13066704 is about 3614.7896204344. The cubic root of 13066704 is about 235.5349455222.

The spelling of 13066704 in words is "thirteen million, sixty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 42 48 54 56 58 63 72 84 87 108 112 116 126 144 149 168 174 189 203 216 232 252 261 298 336 348 378 406 432 447 464 504 522 596 609 696 756 783 812 894 1008 1043 1044 1192 1218 1341 1392 1512 1566 1624 1788 1827 2086 2088 2384 2436 2682 3024 3129 3132 3248 3576 3654 4023 4172 4176 4321 4872 5364 5481 6258 6264 7152 7308 8046 8344 8642 9387 9744 10728 10962 12516 12528 12963 14616 16092 16688 17284 18774 21456 21924 25032 25926 28161 29232 30247 32184 34568 37548 38889 43848 50064 51852 56322 60494 64368 69136 75096 77778 87696 90741 103704 112644 116667 120988 150192 155556 181482 207408 225288 233334 241976 272223 311112 362964 450576 466668 483952 544446 622224 725928 816669 933336 1088892 1451856 1633338 1866672 2177784 3266676 4355568 6533352 13066704