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264656640 = 2835413
BaseRepresentation
bin11111100011001…
…01011100000000
3200102222221122210
433301211130000
51020223003030
642132302120
76362354463
oct1761453400
9612887583
10264656640
111264344a6
1274771940
1342aa4981
14272132da
151837bbb0
hexfc65700

264656640 has 144 divisors (see below), whose sum is σ = 866378016. Its totient is φ = 68853760.

The previous prime is 264656593. The next prime is 264656647. The reversal of 264656640 is 46656462.

It is a super-4 number, since 4×2646566404 (a number of 35 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 820 × 492 × 656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264656647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6455020 + ... + 6455060.

It is an arithmetic number, because the mean of its divisors is an integer number (6016514).

Almost surely, 2264656640 is an apocalyptic number.

264656640 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 264656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433189008).

264656640 is an abundant number, since it is smaller than the sum of its proper divisors (601721376).

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

264656640 is an frugal number, since it uses more digits than its factorization.

264656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 264656640 is about 16268.2709591401. The cubic root of 264656640 is about 642.0382931517.

The spelling of 264656640 in words is "two hundred sixty-four million, six hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 615 640 656 768 820 960 984 1230 1280 1312 1640 1681 1920 1968 2460 2624 3280 3362 3840 3936 4920 5043 5248 6560 6724 7872 8405 9840 10086 10496 13120 13448 15744 16810 19680 20172 25215 26240 26896 31488 33620 39360 40344 50430 52480 53792 67240 68921 78720 80688 100860 107584 134480 137842 157440 161376 201720 206763 215168 268960 275684 322752 344605 403440 413526 430336 537920 551368 645504 689210 806880 827052 1033815 1075840 1102736 1291008 1378420 1613760 1654104 2067630 2151680 2205472 2756840 3227520 3308208 4135260 4410944 5513680 6455040 6616416 8270520 8821888 11027360 13232832 16541040 17643776 22054720 26465664 33082080 44109440 52931328 66164160 88218880 132328320 264656640