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6520960 = 27523443
BaseRepresentation
bin11000111000000010000000
3110021022002001
4120320002000
53132132320
6351433344
7106266355
oct30700200
913238061
106520960
113754326
122225854
131474174
14c1a62c
1588c20a
hex638080

6520960 has 64 divisors (see below), whose sum is σ = 16303680. Its totient is φ = 2489344.

The previous prime is 6520957. The next prime is 6520963. The reversal of 6520960 is 690256.

It is an interprime number because it is at equal distance from previous prime (6520957) and next prime (6520963).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (6520963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14499 + ... + 14941.

It is an arithmetic number, because the mean of its divisors is an integer number (254745).

Almost surely, 26520960 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 6520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8151840).

6520960 is an abundant number, since it is smaller than the sum of its proper divisors (9782720).

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

6520960 is a wasteful number, since it uses less digits than its factorization.

6520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 6520960 is about 2553.6170425496. The cubic root of 6520960 is about 186.8259411569.

It can be divided in two parts, 65 and 20960, that added together give a square (21025 = 1452).

The spelling of 6520960 in words is "six million, five hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 443 460 640 736 886 920 1472 1772 1840 2215 2944 3544 3680 4430 7088 7360 8860 10189 14176 14720 17720 20378 28352 35440 40756 50945 56704 70880 81512 101890 141760 163024 203780 283520 326048 407560 652096 815120 1304192 1630240 3260480 6520960