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66662736 = 243734049
BaseRepresentation
bin1111111001001…
…1000101010000
311122102211002020
43332103011100
5114031201421
610340451440
71436424000
oct376230520
9148384066
1066662736
11346a1778
121a3a9b80
1310a7080a
148bd4000
155cbbdc6
hex3f93150

66662736 has 80 divisors (see below), whose sum is σ = 200880000. Its totient is φ = 19041792.

The previous prime is 66662731. The next prime is 66662753. The reversal of 66662736 is 63726666.

66662736 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 (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66662731) by changing a digit.

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, 14440 + ... + 18488.

It is an arithmetic number, because the mean of its divisors is an integer number (2511000).

Almost surely, 266662736 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 66662736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100440000).

66662736 is an abundant number, since it is smaller than the sum of its proper divisors (134217264).

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

66662736 is a wasteful number, since it uses less digits than its factorization.

66662736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081 (or 4061 counting only the distinct ones).

The product of its digits is 326592, while the sum is 42.

The square root of 66662736 is about 8164.7251025371. The cubic root of 66662736 is about 405.4721638454.

The spelling of 66662736 in words is "sixty-six million, six hundred sixty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 4049 4116 5488 8098 8232 12147 16196 16464 24294 28343 32392 48588 56686 64784 85029 97176 113372 170058 194352 198401 226744 340116 396802 453488 595203 680232 793604 1190406 1360464 1388807 1587208 2380812 2777614 3174416 4166421 4761624 5555228 8332842 9523248 11110456 16665684 22220912 33331368 66662736