Search a number
-
+
3220960 = 25541491
BaseRepresentation
bin1100010010010111100000
320001122022211
430102113200
51311032320
6153011504
736243361
oct14222740
96048284
103220960
1118aaa56
1210b3b94
1388a0c2
145dbb68
1543955a
hex3125e0

3220960 has 48 divisors (see below), whose sum is σ = 7810992. Its totient is φ = 1254400.

The previous prime is 3220951. The next prime is 3220963. The reversal of 3220960 is 690223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220963) 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, 6315 + ... + 6805.

It is an arithmetic number, because the mean of its divisors is an integer number (162729).

Almost surely, 23220960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905496).

3220960 is an abundant number, since it is smaller than the sum of its proper divisors (4590032).

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

3220960 is a wasteful number, since it uses less digits than its factorization.

3220960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 3220960 is about 1794.7033181002. The cubic root of 3220960 is about 147.6822987786.

The spelling of 3220960 in words is "three million, two hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 491 656 820 982 1312 1640 1964 2455 3280 3928 4910 6560 7856 9820 15712 19640 20131 39280 40262 78560 80524 100655 161048 201310 322096 402620 644192 805240 1610480 3220960