Search a number
-
+
64980 = 22325192
BaseRepresentation
bin1111110111010100
310022010200
433313110
54034410
61220500
7360306
oct176724
9108120
1064980
1144903
1231730
1323766
1419976
15143c0
hexfdd4

64980 has 54 divisors (see below), whose sum is σ = 208026. Its totient is φ = 16416.

The previous prime is 64969. The next prime is 64997. The reversal of 64980 is 8946.

It can be divided in two parts, 649 and 80, that added together give a 6-th power (729 = 36).

64980 is a nontrivial binomial coefficient, being equal to C(361, 2).

It can be written as a sum of positive squares in only one way, i.e., 51984 + 12996 = 228^2 + 114^2 .

It is an Ulam number.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

64980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3411 + ... + 3429.

264980 is an apocalyptic number.

64980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64980 is the 360-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104013).

64980 is an abundant number, since it is smaller than the sum of its proper divisors (143046).

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

64980 is a wasteful number, since it uses less digits than its factorization.

64980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 64980 is about 254.9117494350. The cubic root of 64980 is about 40.2031333416.

The spelling of 64980 in words is "sixty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 361 380 570 684 722 855 1083 1140 1444 1710 1805 2166 3249 3420 3610 4332 5415 6498 7220 10830 12996 16245 21660 32490 64980