Search a number
-
+
66366536 = 23314161107
BaseRepresentation
bin1111110100101…
…0110001001000
311121212202202212
43331022301020
5113442212121
610330244252
71434051305
oct375126110
9147782685
1066366536
113450a185
121a286688
1310998a52
148b580ac
155c5e25b
hex3f4ac48

66366536 has 64 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 30528000.

The previous prime is 66366511. The next prime is 66366541. The reversal of 66366536 is 63566366.

66366536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 66366493 and 66366502.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 620195 + ... + 620301.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 266366536 is an apocalyptic number.

It is an amenable number.

66366536 is an abundant number, since it is smaller than the sum of its proper divisors (68624824).

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

66366536 is a wasteful number, since it uses less digits than its factorization.

66366536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 242 counting only the distinct ones).

The product of its digits is 349920, while the sum is 41.

The square root of 66366536 is about 8146.5659022683. The cubic root of 66366536 is about 404.8707325091.

The spelling of 66366536 in words is "sixty-six million, three hundred sixty-six thousand, five hundred thirty-six".

Divisors: 1 2 4 8 31 41 61 62 82 107 122 124 164 214 244 248 328 428 488 856 1271 1891 2501 2542 3317 3782 4387 5002 5084 6527 6634 7564 8774 10004 10168 13054 13268 15128 17548 20008 26108 26536 35096 52216 77531 135997 155062 202337 267607 271994 310124 404674 535214 543988 620248 809348 1070428 1087976 1618696 2140856 8295817 16591634 33183268 66366536