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8300240640 = 28335240169
BaseRepresentation
bin1111011101011101…
…11001111100000000
3210102110100220122000
413232232321330000
5113444330200030
63451342544000
7412454611206
oct75656717400
923373326560
108300240640
11357a2a670a
121737898000
13a237c65c3
1458a501076
15338a55860
hex1eebb9f00

8300240640 has 144 divisors (see below), whose sum is σ = 29454448800. Its totient is φ = 2213388288.

The previous prime is 8300240639. The next prime is 8300240647. The reversal of 8300240640 is 460420038.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8300240647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85525 + ... + 154644.

Almost surely, 28300240640 is an apocalyptic number.

8300240640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8300240640 is an abundant number, since it is smaller than the sum of its proper divisors (21154208160).

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

8300240640 is a wasteful number, since it uses less digits than its factorization.

8300240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240199 (or 240179 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8300240640 is about 91105.6564654468. The cubic root of 8300240640 is about 2024.7134189781.

Adding to 8300240640 its reverse (460420038), we get a palindrome (8760660678).

The spelling of 8300240640 in words is "eight billion, three hundred million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 240169 480338 720507 960676 1200845 1441014 1921352 2161521 2401690 2882028 3602535 3842704 4323042 4803380 5764056 6484563 7205070 7685408 8646084 9606760 10807605 11528112 12969126 14410140 15370816 17292168 19213520 21615210 23056224 25938252 28820280 30741632 32422815 34584336 38427040 43230420 46112448 51876504 57640560 61483264 64845630 69168672 76854080 86460840 92224896 103753008 115281120 129691260 138337344 153708160 172921680 184449792 207506016 230562240 259382520 276674688 307416320 345843360 415012032 461124480 518765040 553349376 691686720 830024064 922248960 1037530080 1383373440 1660048128 2075060160 2766746880 4150120320 8300240640