Search a number
-
+
66841152 = 2637411213
BaseRepresentation
bin1111111011111…
…0101001000000
311122202212211020
43332332221000
5114102404102
610344345440
71441066110
oct376765100
9148685736
1066841152
1134803824
121a475280
1310b03aa1
148c3d040
155d04bbc
hex3fbea40

66841152 has 112 divisors (see below), whose sum is σ = 207215232. Its totient is φ = 18616320.

The previous prime is 66841141. The next prime is 66841153. The reversal of 66841152 is 25114866.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (66841153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54498 + ... + 55710.

It is an arithmetic number, because the mean of its divisors is an integer number (1850136).

Almost surely, 266841152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66841152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103607616).

66841152 is an abundant number, since it is smaller than the sum of its proper divisors (140374080).

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

66841152 is a wasteful number, since it uses less digits than its factorization.

66841152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1266 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 66841152 is about 8175.6438278585. The cubic root of 66841152 is about 405.8335765447.

The spelling of 66841152 in words is "sixty-six million, eight hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 224 246 287 328 336 448 492 574 656 672 861 984 1148 1213 1312 1344 1722 1968 2296 2426 2624 3444 3639 3936 4592 4852 6888 7278 7872 8491 9184 9704 13776 14556 16982 18368 19408 25473 27552 29112 33964 38816 49733 50946 55104 58224 67928 77632 99466 101892 116448 135856 149199 198932 203784 232896 271712 298398 348131 397864 407568 543424 596796 696262 795728 815136 1044393 1193592 1392524 1591456 1630272 2088786 2387184 2785048 3182912 4177572 4774368 5570096 8355144 9548736 11140192 16710288 22280384 33420576 66841152