Search a number
-
+
6484278420 = 223454002641
BaseRepresentation
bin1100000100111111…
…00011110010010100
3121201220022110210000
412002133203302110
5101234433402140
62551232331300
7316454312544
oct60237436224
917656273700
106484278420
11282822a394
12130b6a3b30
137c4507c49
14457271324
1527e3e7a30
hex1827e3c94

6484278420 has 60 divisors (see below), whose sum is σ = 20341426644. Its totient is φ = 1729140480.

The previous prime is 6484278419. The next prime is 6484278421. The reversal of 6484278420 is 248724846.

It is an interprime number because it is at equal distance from previous prime (6484278419) and next prime (6484278421).

It can be written as a sum of positive squares in 2 ways, for example, as 2437791876 + 4046486544 = 49374^2 + 63612^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6484278421) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1999701 + ... + 2002940.

Almost surely, 26484278420 is an apocalyptic number.

6484278420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6484278420 is an abundant number, since it is smaller than the sum of its proper divisors (13857148224).

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

6484278420 is a wasteful number, since it uses less digits than its factorization.

6484278420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002662 (or 4002651 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 6484278420 is about 80525.0173548569. The cubic root of 6484278420 is about 1864.7497233554.

The spelling of 6484278420 in words is "six billion, four hundred eighty-four million, two hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4002641 8005282 12007923 16010564 20013205 24015846 36023769 40026410 48031692 60039615 72047538 80052820 108071307 120079230 144095076 180118845 216142614 240158460 324213921 360237690 432285228 540356535 648427842 720475380 1080713070 1296855684 1621069605 2161426140 3242139210 6484278420