Search a number
-
+
66666264 = 2337283683
BaseRepresentation
bin1111111001001…
…1111100011000
311122102222220220
43332103330120
5114031310024
610340520040
71436440200
oct376237430
9148388826
1066666264
11346a4395
121a3b0020
1310a722c2
148bd5400
155cbce79
hex3f93f18

66666264 has 96 divisors (see below), whose sum is σ = 196499520. Its totient is φ = 18790464.

The previous prime is 66666263. The next prime is 66666277. The reversal of 66666264 is 46266666.

It is a happy number.

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 (66666263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97267 + ... + 97949.

It is an arithmetic number, because the mean of its divisors is an integer number (2046870).

Almost surely, 266666264 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 66666264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98249760).

66666264 is an abundant number, since it is smaller than the sum of its proper divisors (129833256).

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

66666264 is a wasteful number, since it uses less digits than its factorization.

66666264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 778 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 66666264 is about 8164.9411510433. The cubic root of 66666264 is about 405.4793166699.

The spelling of 66666264 in words is "sixty-six million, six hundred sixty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 83 84 98 147 166 168 196 249 294 332 392 498 581 588 664 683 996 1162 1176 1366 1743 1992 2049 2324 2732 3486 4067 4098 4648 4781 5464 6972 8134 8196 9562 12201 13944 14343 16268 16392 19124 24402 28686 32536 33467 38248 48804 56689 57372 66934 97608 100401 113378 114744 133868 170067 200802 226756 267736 340134 396823 401604 453512 680268 793646 803208 1190469 1360536 1587292 2380938 2777761 3174584 4761876 5555522 8333283 9523752 11111044 16666566 22222088 33333132 66666264