Search a number
-
+
66302160 = 24352271217
BaseRepresentation
bin1111110011101…
…1000011010000
311121202111110120
43330323003100
5113433132120
610325030240
71433362521
oct374730320
9147674416
1066302160
1134475881
121a255380
1310975662
148b3c848
155c4a140
hex3f3b0d0

66302160 has 80 divisors (see below), whose sum is σ = 206611776. Its totient is φ = 17588224.

The previous prime is 66302111. The next prime is 66302161. The reversal of 66302160 is 6120366.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 66302160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66302161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53872 + ... + 55088.

Almost surely, 266302160 is an apocalyptic number.

66302160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66302160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103305888).

66302160 is an abundant number, since it is smaller than the sum of its proper divisors (140309616).

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

66302160 is a wasteful number, since it uses less digits than its factorization.

66302160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 66302160 is about 8142.6138309513. The cubic root of 66302160 is about 404.7397810196.

The spelling of 66302160 in words is "sixty-six million, three hundred two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 454 681 908 1135 1217 1362 1816 2270 2434 2724 3405 3632 3651 4540 4868 5448 6085 6810 7302 9080 9736 10896 12170 13620 14604 18160 18255 19472 24340 27240 29208 36510 48680 54480 58416 73020 97360 146040 276259 292080 552518 828777 1105036 1381295 1657554 2210072 2762590 3315108 4143885 4420144 5525180 6630216 8287770 11050360 13260432 16575540 22100720 33151080 66302160