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6474240 = 29325281
BaseRepresentation
bin11000101100101000000000
3110011220222200
4120230220000
53124133430
6350433200
7106013223
oct30545000
913156880
106474240
113722213
122202800
131458b16
14c075ba
1587d460
hex62ca00

6474240 has 120 divisors (see below), whose sum is σ = 22501908. Its totient is φ = 1720320.

The previous prime is 6474239. The next prime is 6474241. The reversal of 6474240 is 424746.

It is an interprime number because it is at equal distance from previous prime (6474239) and next prime (6474241).

It can be written as a sum of positive squares in 2 ways, for example, as 6471936 + 2304 = 2544^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6474241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22900 + ... + 23180.

Almost surely, 26474240 is an apocalyptic number.

6474240 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 6474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11250954).

6474240 is an abundant number, since it is smaller than the sum of its proper divisors (16027668).

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

6474240 is a wasteful number, since it uses less digits than its factorization.

6474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 6474240 is about 2544.4527898941. The cubic root of 6474240 is about 186.3786942928.

Adding to 6474240 its reverse (424746), we get a palindrome (6898986).

The spelling of 6474240 in words is "six million, four hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 281 288 320 360 384 480 512 562 576 640 720 768 843 960 1124 1152 1280 1405 1440 1536 1686 1920 2248 2304 2529 2560 2810 2880 3372 3840 4215 4496 4608 5058 5620 5760 6744 7680 8430 8992 10116 11240 11520 12645 13488 16860 17984 20232 22480 23040 25290 26976 33720 35968 40464 44960 50580 53952 67440 71936 80928 89920 101160 107904 134880 143872 161856 179840 202320 215808 269760 323712 359680 404640 431616 539520 647424 719360 809280 1079040 1294848 1618560 2158080 3237120 6474240