Search a number
-
+
66705366 = 23721331563
BaseRepresentation
bin1111111001110…
…1011111010110
311122111222120010
43332131133112
5114034032431
610341421050
71436662200
oct376353726
9148458503
1066705366
1134720802
121a40a786
1310a87040
148c05770
155cc9846
hex3f9d7d6

66705366 has 96 divisors (see below), whose sum is σ = 172827648. Its totient is φ = 16994880.

The previous prime is 66705347. The next prime is 66705377. The reversal of 66705366 is 66350766.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118201 + ... + 118763.

It is an arithmetic number, because the mean of its divisors is an integer number (1800288).

Almost surely, 266705366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66705366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86413824).

66705366 is an abundant number, since it is smaller than the sum of its proper divisors (106122282).

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

66705366 is a wasteful number, since it uses less digits than its factorization.

66705366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 66705366 is about 8167.3353059612. The cubic root of 66705366 is about 405.5585769157.

The spelling of 66705366 in words is "sixty-six million, seven hundred five thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 49 62 78 91 93 98 147 182 186 217 273 294 403 434 546 563 637 651 806 1126 1209 1274 1302 1519 1689 1911 2418 2821 3038 3378 3822 3941 4557 5642 7319 7882 8463 9114 11823 14638 16926 17453 19747 21957 23646 27587 34906 39494 43914 51233 52359 55174 59241 82761 102466 104718 118482 122171 153699 165522 226889 244342 307398 358631 366513 453778 680667 717262 733026 855197 1075893 1361334 1588223 1710394 2151786 2565591 3176446 4764669 5131182 9529338 11117561 22235122 33352683 66705366