Search a number
-
+
683724420 = 223253798469
BaseRepresentation
bin101000110000001…
…100111010000100
31202122112210120200
4220300030322010
52400013140140
6151502330500
722641363441
oct5060147204
91678483520
10683724420
11320a43305
12170b89a30
13ab861282
1466b3c9c8
154005a030
hex28c0ce84

683724420 has 36 divisors (see below), whose sum is σ = 2073964620. Its totient is φ = 182326464.

The previous prime is 683724413. The next prime is 683724421. The reversal of 683724420 is 24427386.

It can be written as a sum of positive squares in 2 ways, for example, as 212226624 + 471497796 = 14568^2 + 21714^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (683724421) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1899055 + ... + 1899414.

Almost surely, 2683724420 is an apocalyptic number.

683724420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

683724420 is an abundant number, since it is smaller than the sum of its proper divisors (1390240200).

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

683724420 is a wasteful number, since it uses less digits than its factorization.

683724420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798484 (or 3798479 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 683724420 is about 26148.1245981428. The cubic root of 683724420 is about 880.9684671832.

The spelling of 683724420 in words is "six hundred eighty-three million, seven hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3798469 7596938 11395407 15193876 18992345 22790814 34186221 37984690 45581628 56977035 68372442 75969380 113954070 136744884 170931105 227908140 341862210 683724420