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6931300640 = 255115217559
BaseRepresentation
bin1100111010010001…
…10100000100100000
3122220001110112222112
412131020310010200
5103143403110030
63103441454452
7333523040405
oct63510640440
918801415875
106931300640
112a375a1840
121415341428
13866001434
1449a7962ac
152a8798a95
hex19d234120

6931300640 has 96 divisors (see below), whose sum is σ = 17900507520. Its totient is φ = 2515302400.

The previous prime is 6931300609. The next prime is 6931300667. The reversal of 6931300640 is 460031396.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 6931300597 and 6931300606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913181 + ... + 920739.

It is an arithmetic number, because the mean of its divisors is an integer number (186463620).

Almost surely, 26931300640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6931300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8950253760).

6931300640 is an abundant number, since it is smaller than the sum of its proper divisors (10969206880).

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

6931300640 is a wasteful number, since it uses less digits than its factorization.

6931300640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8106 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 6931300640 is about 83254.4331552380. The cubic root of 6931300640 is about 1906.6526387110.

The spelling of 6931300640 in words is "six billion, nine hundred thirty-one million, three hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 521 880 1042 1760 2084 2605 4168 5210 5731 7559 8336 10420 11462 15118 16672 20840 22924 28655 30236 37795 41680 45848 57310 60472 75590 83149 83360 91696 114620 120944 151180 166298 183392 229240 241888 302360 332596 415745 458480 604720 665192 831490 916960 1209440 1330384 1662980 2660768 3325960 3938239 6651920 7876478 13303840 15752956 19691195 31505912 39382390 43320629 63011824 78764780 86641258 126023648 157529560 173282516 216603145 315059120 346565032 433206290 630118240 693130064 866412580 1386260128 1732825160 3465650320 6931300640