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256488660 = 223351373467
BaseRepresentation
bin11110100100110…
…11010011010100
3122212121222022000
433102123103110
51011130114120
641241235300
76233055231
oct1722332324
9585558260
10256488660
111218657aa
1271a92b30
13411a4c4c
14260c8788
15177b6990
hexf49b4d4

256488660 has 96 divisors (see below), whose sum is σ = 804021120. Its totient is φ = 67878144.

The previous prime is 256488653. The next prime is 256488667. The reversal of 256488660 is 66884652.

256488660 is a `hidden beast` number, since 2 + 564 + 8 + 86 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (256488653) and next prime (256488667).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256488667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72247 + ... + 75713.

It is an arithmetic number, because the mean of its divisors is an integer number (8375220).

Almost surely, 2256488660 is an apocalyptic number.

256488660 is a gapful number since it is divisible by the number (20) 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 256488660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402010560).

256488660 is an abundant number, since it is smaller than the sum of its proper divisors (547532460).

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

256488660 is a wasteful number, since it uses less digits than its factorization.

256488660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 256488660 is about 16015.2633446971. The cubic root of 256488660 is about 635.3641741007.

The spelling of 256488660 in words is "two hundred fifty-six million, four hundred eighty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 180 270 274 411 540 548 685 822 1233 1370 1644 2055 2466 2740 3467 3699 4110 4932 6165 6934 7398 8220 10401 12330 13868 14796 17335 18495 20802 24660 31203 34670 36990 41604 52005 62406 69340 73980 93609 104010 124812 156015 187218 208020 312030 374436 468045 474979 624060 936090 949958 1424937 1872180 1899916 2374895 2849874 4274811 4749790 5699748 7124685 8549622 9499580 12824433 14249370 17099244 21374055 25648866 28498740 42748110 51297732 64122165 85496220 128244330 256488660