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10640460320 = 255710392237
BaseRepresentation
bin10011110100011100…
…01000101000100000
31000110112220101111222
421322032020220200
5133242424212240
64515501554212
7524452264130
oct117216105040
930415811458
1010640460320
114570298366
12208b575968
1310075b1289
1472d23cac0
1542421deb5
hex27a388a20

10640460320 has 96 divisors (see below), whose sum is σ = 29008482048. Its totient is φ = 3612699648.

The previous prime is 10640460289. The next prime is 10640460371. The reversal of 10640460320 is 2306404601.

It is a super-2 number, since 2×106404603202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10640460320.

It is an unprimeable number.

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, 69242 + ... + 161478.

It is an arithmetic number, because the mean of its divisors is an integer number (302171688).

Almost surely, 210640460320 is an apocalyptic number.

10640460320 is a gapful number since it is divisible by the number (10) 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 10640460320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504241024).

10640460320 is an abundant number, since it is smaller than the sum of its proper divisors (18368021728).

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

10640460320 is a wasteful number, since it uses less digits than its factorization.

10640460320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92362 (or 92354 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10640460320 its reverse (2306404601), we get a palindrome (12946864921).

The spelling of 10640460320 in words is "ten billion, six hundred forty million, four hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 103 112 140 160 206 224 280 412 515 560 721 824 1030 1120 1442 1648 2060 2884 3296 3605 4120 5768 7210 8240 11536 14420 16480 23072 28840 57680 92237 115360 184474 368948 461185 645659 737896 922370 1291318 1475792 1844740 2582636 2951584 3228295 3689480 5165272 6456590 7378960 9500411 10330544 12913180 14757920 19000822 20661088 25826360 38001644 47502055 51652720 66502877 76003288 95004110 103305440 133005754 152006576 190008220 266011508 304013152 332514385 380016440 532023016 665028770 760032880 1064046032 1330057540 1520065760 2128092064 2660115080 5320230160 10640460320