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6530426400 = 253526594129
BaseRepresentation
bin1100001010011111…
…00110011000100000
3121212010011000220110
412011033212120200
5101333242121100
63000001411320
7320554465011
oct60517463040
917763130813
106530426400
11285128a013
121323039b40
13800c44c44
1445d445008
152834b1250
hex1853e6620

6530426400 has 144 divisors (see below), whose sum is σ = 21293949600. Its totient is φ = 1738383360.

The previous prime is 6530426377. The next prime is 6530426401. The reversal of 6530426400 is 46240356.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6530426401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1579536 + ... + 1583664.

It is an arithmetic number, because the mean of its divisors is an integer number (147874650).

Almost surely, 26530426400 is an apocalyptic number.

6530426400 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 6530426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10646974800).

6530426400 is an abundant number, since it is smaller than the sum of its proper divisors (14763523200).

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

6530426400 is a wasteful number, since it uses less digits than its factorization.

6530426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4811 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 6530426400 is about 80811.0536993548. The cubic root of 6530426400 is about 1869.1630177739.

Adding to 6530426400 its reverse (46240356), we get a palindrome (6576666756).

The spelling of 6530426400 in words is "six billion, five hundred thirty million, four hundred twenty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 659 800 1200 1318 1977 2400 2636 3295 3954 4129 5272 6590 7908 8258 9885 10544 12387 13180 15816 16475 16516 19770 20645 21088 24774 26360 31632 32950 33032 39540 41290 49425 49548 52720 61935 63264 65900 66064 79080 82580 98850 99096 103225 105440 123870 131800 132128 158160 165160 197700 198192 206450 247740 263600 309675 316320 330320 395400 396384 412900 495480 527200 619350 660640 790800 825800 990960 1238700 1581600 1651600 1981920 2477400 2721011 3303200 4954800 5442022 8163033 9909600 10884044 13605055 16326066 21768088 27210110 32652132 40815165 43536176 54420220 65304264 68025275 81630330 87072352 108840440 130608528 136050550 163260660 204075825 217680880 261217056 272101100 326521320 408151650 435361760 544202200 653042640 816303300 1088404400 1306085280 1632606600 2176808800 3265213200 6530426400