Search a number
-
+
671001220 = 225176132353
BaseRepresentation
bin100111111111101…
…010101010000100
31201202121101122001
4213333222222010
52333234014340
6150325515044
722425262531
oct4777525204
91652541561
10671001220
1131484316a
12168872a84
13a9028056
1465189d88
153dd9529a
hex27feaa84

671001220 has 48 divisors (see below), whose sum is σ = 1516496688. Its totient is φ = 248463360.

The previous prime is 671001211. The next prime is 671001223. The reversal of 671001220 is 22100176.

It can be written as a sum of positive squares in 8 ways, for example, as 87616 + 670913604 = 296^2 + 25902^2 .

It is not an unprimeable number, because it can be changed into a prime (671001223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4564 + ... + 36916.

It is an arithmetic number, because the mean of its divisors is an integer number (31593681).

Almost surely, 2671001220 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 671001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758248344).

671001220 is an abundant number, since it is smaller than the sum of its proper divisors (845495468).

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

671001220 is a wasteful number, since it uses less digits than its factorization.

671001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32440 (or 32438 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 671001220 is about 25903.6912427553. The cubic root of 671001220 is about 875.4696667672.

Adding to 671001220 its reverse (22100176), we get a palindrome (693101396).

The spelling of 671001220 in words is "six hundred seventy-one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 610 1037 1220 2074 4148 5185 10370 20740 32353 64706 129412 161765 323530 550001 647060 1100002 1973533 2200004 2750005 3947066 5500010 7894132 9867665 11000020 19735330 33550061 39470660 67100122 134200244 167750305 335500610 671001220