Search a number
-
+
2001480 = 2335131283
BaseRepresentation
bin111101000101001001000
310202200111220
413220221020
51003021410
6110522040
723004135
oct7505110
93680456
102001480
111147818
12806320
13551010
143a158c
15298070
hex1e8a48

2001480 has 64 divisors (see below), whose sum is σ = 6471360. Its totient is φ = 492288.

The previous prime is 2001469. The next prime is 2001481. The reversal of 2001480 is 841002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2001481) 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, 919 + ... + 2201.

It is an arithmetic number, because the mean of its divisors is an integer number (101115).

22001480 is an apocalyptic number.

2001480 is a gapful number since it is divisible by the number (20) 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 2001480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235680).

2001480 is an abundant number, since it is smaller than the sum of its proper divisors (4469880).

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

2001480 is a wasteful number, since it uses less digits than its factorization.

2001480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2001480 is about 1414.7367246241. The cubic root of 2001480 is about 126.0231753793.

Adding to 2001480 its reverse (841002), we get a palindrome (2842482).

The spelling of 2001480 in words is "two million, one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1283 1560 2566 3849 5132 6415 7698 10264 12830 15396 16679 19245 25660 30792 33358 38490 50037 51320 66716 76980 83395 100074 133432 153960 166790 200148 250185 333580 400296 500370 667160 1000740 2001480