Search a number
-
+
66360 = 2335779
BaseRepresentation
bin10000001100111000
310101000210
4100030320
54110420
61231120
7364320
oct201470
9111023
1066360
1145948
12324a0
1324288
141a280
15149e0
hex10338

66360 has 64 divisors (see below), whose sum is σ = 230400. Its totient is φ = 14976.

The previous prime is 66359. The next prime is 66361. The reversal of 66360 is 6366.

66360 divided by its sum of digits (21) gives a triangular number (3160 = T79).

It is an interprime number because it is at equal distance from previous prime (66359) and next prime (66361).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66361) 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, 801 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

266360 is an apocalyptic number.

66360 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 66360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

66360 is an abundant number, since it is smaller than the sum of its proper divisors (164040).

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

66360 is a wasteful number, since it uses less digits than its factorization.

66360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 66360 is about 257.6043477894. The cubic root of 66360 is about 40.4857441062.

The spelling of 66360 in words is "sixty-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 79 84 105 120 140 158 168 210 237 280 316 395 420 474 553 632 790 840 948 1106 1185 1580 1659 1896 2212 2370 2765 3160 3318 4424 4740 5530 6636 8295 9480 11060 13272 16590 22120 33180 66360