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6474480 = 243553509
BaseRepresentation
bin11000101100101011110000
3110011221022120
4120230223300
53124140410
6350434240
7106014015
oct30545360
913157276
106474480
113722411
122202980
131458c6c
14c0770c
1587d570
hex62caf0

6474480 has 80 divisors (see below), whose sum is σ = 20489760. Its totient is φ = 1690624.

The previous prime is 6474473. The next prime is 6474487. The reversal of 6474480 is 844746.

6474480 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (6474473) and next prime (6474487).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6474487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12466 + ... + 12974.

It is an arithmetic number, because the mean of its divisors is an integer number (256122).

Almost surely, 26474480 is an apocalyptic number.

6474480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 2544×2545.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6474480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244880).

6474480 is an abundant number, since it is smaller than the sum of its proper divisors (14015280).

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

6474480 is a wasteful number, since it uses less digits than its factorization.

6474480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 6474480 is about 2544.4999508744. The cubic root of 6474480 is about 186.3809972830.

The spelling of 6474480 in words is "six million, four hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 509 530 636 795 848 1018 1060 1272 1527 1590 2036 2120 2544 2545 3054 3180 4072 4240 5090 6108 6360 7635 8144 10180 12216 12720 15270 20360 24432 26977 30540 40720 53954 61080 80931 107908 122160 134885 161862 215816 269770 323724 404655 431632 539540 647448 809310 1079080 1294896 1618620 2158160 3237240 6474480