Search a number
-
+
66986045 = 574347947
BaseRepresentation
bin1111111110001…
…0000000111101
311200001020120122
43333202000331
5114122023140
610351424325
71442241410
oct377420075
9150036518
1066986045
11348a2675
121a5250a5
1310b54a19
148c79b77
155d32ab5
hex3fe203d

66986045 has 32 divisors (see below), whose sum is σ = 96104448. Its totient is φ = 43864128.

The previous prime is 66985999. The next prime is 66986047. The reversal of 66986045 is 54068966.

It is not a de Polignac number, because 66986045 - 216 = 66920509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66985987 and 66986005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66986047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70262 + ... + 71208.

It is an arithmetic number, because the mean of its divisors is an integer number (3003264).

Almost surely, 266986045 is an apocalyptic number.

It is an amenable number.

66986045 is a deficient number, since it is larger than the sum of its proper divisors (29118403).

66986045 is a wasteful number, since it uses less digits than its factorization.

66986045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049.

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 66986045 is about 8184.5002901827. The cubic root of 66986045 is about 406.1266096270.

It can be divided in two parts, 6698604 and 5, that multiplied together give a triangular number (33493020 = T8184).

The spelling of 66986045 in words is "sixty-six million, nine hundred eighty-six thousand, forty-five".

Divisors: 1 5 7 35 43 47 215 235 301 329 947 1505 1645 2021 4735 6629 10105 14147 33145 40721 44509 70735 203605 222545 285047 311563 1425235 1557815 1913887 9569435 13397209 66986045