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6540023040 = 283513113001
BaseRepresentation
bin1100001011101000…
…01101010100000000
3121212210012121000120
412011310031110000
5101343221214130
63000543220240
7321032164365
oct60564152400
917783177016
106540023040
112856744121
1213262a7680
13802c25025
1446082246c
15284259910
hex185d0d500

6540023040 has 144 divisors (see below), whose sum is σ = 21048261696. Its totient is φ = 1730560000.

The previous prime is 6540022991. The next prime is 6540023047. The reversal of 6540023040 is 403200456.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6540023040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6540023047) 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, 496540 + ... + 509540.

It is an arithmetic number, because the mean of its divisors is an integer number (146168484).

Almost surely, 26540023040 is an apocalyptic number.

6540023040 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 6540023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10524130848).

6540023040 is an abundant number, since it is smaller than the sum of its proper divisors (14508238656).

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

6540023040 is a wasteful number, since it uses less digits than its factorization.

6540023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13156 (or 13142 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 6540023040 is about 80870.4089268751. The cubic root of 6540023040 is about 1870.0781650151.

Adding to 6540023040 its reverse (403200456), we get a palindrome (6943223496).

The spelling of 6540023040 in words is "six billion, five hundred forty million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 131 160 192 240 256 262 320 384 393 480 524 640 655 768 786 960 1048 1280 1310 1572 1920 1965 2096 2620 3144 3840 3930 4192 5240 6288 7860 8384 10480 12576 13001 15720 16768 20960 25152 26002 31440 33536 39003 41920 50304 52004 62880 65005 78006 83840 100608 104008 125760 130010 156012 167680 195015 208016 251520 260020 312024 390030 416032 503040 520040 624048 780060 832064 1040080 1248096 1560120 1664128 1703131 2080160 2496192 3120240 3328256 3406262 4160320 4992384 5109393 6240480 6812524 8320640 8515655 9984768 10218786 12480960 13625048 16641280 17031310 20437572 24961920 25546965 27250096 34062620 40875144 49923840 51093930 54500192 68125240 81750288 102187860 109000384 136250480 163500576 204375720 218000768 272500960 327001152 408751440 436001536 545001920 654002304 817502880 1090003840 1308004608 1635005760 2180007680 3270011520 6540023040