Search a number
-
+
67260 = 22351959
BaseRepresentation
bin10000011010111100
310102021010
4100122330
54123020
61235220
7400044
oct203274
9112233
1067260
1146596
1232b10
13247cb
141a724
1514de0
hex106bc

67260 has 48 divisors (see below), whose sum is σ = 201600. Its totient is φ = 16704.

The previous prime is 67247. The next prime is 67261. The reversal of 67260 is 6276.

Added to its reverse (6276) it gives a triangular number (73536 = T383).

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67261) by changing a digit.

67260 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1111 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

267260 is an apocalyptic number.

67260 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 67260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

67260 is an abundant number, since it is smaller than the sum of its proper divisors (134340).

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

67260 is a wasteful number, since it uses less digits than its factorization.

67260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 67260 is about 259.3453296283. The cubic root of 67260 is about 40.6679506298.

Adding to 67260 its reverse (6276), we get a triangular number (73536 = T383).

The spelling of 67260 in words is "sixty-seven thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 59 60 76 95 114 118 177 190 228 236 285 295 354 380 570 590 708 885 1121 1140 1180 1770 2242 3363 3540 4484 5605 6726 11210 13452 16815 22420 33630 67260