Search a number
-
+
66923514 = 23272233299
BaseRepresentation
bin1111111101001…
…0101111111010
311122221001210200
43333102233322
5114113023024
610350223030
71441561200
oct377225772
9148831720
1066923514
113485a699
121a4b4a76
1310b32418
148c61070
155d1e2c9
hex3fd2bfa

66923514 has 72 divisors (see below), whose sum is σ = 176061600. Its totient is φ = 18284112.

The previous prime is 66923489. The next prime is 66923533. The reversal of 66923514 is 41532966.

It is a happy number.

It is a super-2 number, since 2×669235142 = 8957513452216392, which contains 22 as substring.

It is a Curzon 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 35 ways as a sum of consecutive naturals, for example, 18637 + ... + 21935.

It is an arithmetic number, because the mean of its divisors is an integer number (2445300).

Almost surely, 266923514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66923514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88030800).

66923514 is an abundant number, since it is smaller than the sum of its proper divisors (109138086).

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

66923514 is a wasteful number, since it uses less digits than its factorization.

66923514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3334 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 66923514 is about 8180.6793116464. The cubic root of 66923514 is about 406.0001981767. Note that the first 3 decimals are identical.

The spelling of 66923514 in words is "sixty-six million, nine hundred twenty-three thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 414 441 483 882 966 1127 1449 2254 2898 3299 3381 6598 6762 9897 10143 19794 20286 23093 29691 46186 59382 69279 75877 138558 151754 161651 207837 227631 323302 415674 455262 484953 531139 682893 969906 1062278 1365786 1454859 1593417 2909718 3186834 3717973 4780251 7435946 9560502 11153919 22307838 33461757 66923514