Search a number
-
+
66468336 = 24311125887
BaseRepresentation
bin1111110110001…
…1100111110000
311122001221102020
43331203213300
5114003441321
610332351440
71434654144
oct375434760
9148057366
1066468336
1134579710
121a315580
1310a0319c
148b83224
155c7e4c6
hex3f639f0

66468336 has 40 divisors (see below), whose sum is σ = 187321344. Its totient is φ = 20141760.

The previous prime is 66468331. The next prime is 66468341. The reversal of 66468336 is 63386466.

It is an interprime number because it is at equal distance from previous prime (66468331) and next prime (66468341).

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 (66468331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62416 + ... + 63471.

Almost surely, 266468336 is an apocalyptic number.

66468336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

66468336 is an abundant number, since it is smaller than the sum of its proper divisors (120853008).

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

66468336 is a wasteful number, since it uses less digits than its factorization.

66468336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125909 (or 125903 counting only the distinct ones).

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

The square root of 66468336 is about 8152.8115395856. The cubic root of 66468336 is about 405.0776379128.

The spelling of 66468336 in words is "sixty-six million, four hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 125887 251774 377661 503548 755322 1007096 1384757 1510644 2014192 2769514 3021288 4154271 5539028 6042576 8308542 11078056 16617084 22156112 33234168 66468336