Search a number
-
+
6489901800 = 23325212792819
BaseRepresentation
bin1100000101101010…
…00000101011101000
3121202021220011121100
412002311000223220
5101242403324200
62551553041400
7316553153334
oct60265005350
917667804540
106489901800
112830420308
121311556260
137c57266a5
14457cd67c4
1527eb58d00
hex182d40ae8

6489901800 has 144 divisors (see below), whose sum is σ = 21820032000. Its totient is φ = 1728673920.

The previous prime is 6489901783. The next prime is 6489901811. The reversal of 6489901800 is 81099846.

6489901800 is a `hidden beast` number, since 6 + 489 + 90 + 1 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2300791 + ... + 2303609.

It is an arithmetic number, because the mean of its divisors is an integer number (151528000).

Almost surely, 26489901800 is an apocalyptic number.

6489901800 is a gapful number since it is divisible by the number (60) 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 6489901800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10910016000).

6489901800 is an abundant number, since it is smaller than the sum of its proper divisors (15330130200).

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

6489901800 is a wasteful number, since it uses less digits than its factorization.

6489901800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 6489901800 is about 80559.9267626281. The cubic root of 6489901800 is about 1865.2886250782.

The spelling of 6489901800 in words is "six billion, four hundred eighty-nine million, nine hundred one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1279 1800 2558 2819 3837 5116 5638 6395 7674 8457 10232 11276 11511 12790 14095 15348 16914 19185 22552 23022 25371 25580 28190 30696 31975 33828 38370 42285 46044 50742 51160 56380 57555 63950 67656 70475 76740 84570 92088 95925 101484 112760 115110 126855 127900 140950 153480 169140 191850 202968 211425 230220 253710 255800 281900 287775 338280 383700 422850 460440 507420 563800 575550 634275 767400 845700 1014840 1151100 1268550 1691400 2302200 2537100 3605501 5074200 7211002 10816503 14422004 18027505 21633006 28844008 32449509 36055010 43266012 54082515 64899018 72110020 86532024 90137525 108165030 129798036 144220040 162247545 180275050 216330060 259596072 270412575 324495090 360550100 432660120 540825150 648990180 721100200 811237725 1081650300 1297980360 1622475450 2163300600 3244950900 6489901800