Search a number
-
+
1641280 = 26523223
BaseRepresentation
bin110010000101101000000
310002101102011
412100231000
5410010110
655102304
716644034
oct6205500
93071364
101641280
11a21133
12671994
13456094
1430a1c4
1522648a
hex190b40

1641280 has 56 divisors (see below), whose sum is σ = 4096512. Its totient is φ = 625152.

The previous prime is 1641253. The next prime is 1641281. The reversal of 1641280 is 821461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7249 + ... + 7471.

It is an arithmetic number, because the mean of its divisors is an integer number (73152).

21641280 is an apocalyptic number.

1641280 is a gapful number since it is divisible by the number (10) 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 1641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048256).

1641280 is an abundant number, since it is smaller than the sum of its proper divisors (2455232).

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

1641280 is a wasteful number, since it uses less digits than its factorization.

1641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1641280 is about 1281.1245060493. The cubic root of 1641280 is about 117.9580431126.

It can be divided in two parts, 164 and 1280, that added together give a square (1444 = 382).

The spelling of 1641280 in words is "one million, six hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 223 230 320 368 446 460 736 892 920 1115 1472 1784 1840 2230 3568 3680 4460 5129 7136 7360 8920 10258 14272 17840 20516 25645 35680 41032 51290 71360 82064 102580 164128 205160 328256 410320 820640 1641280