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102043440 = 24325239593
BaseRepresentation
bin1100001010100…
…00111100110000
321010000100021200
412011100330300
5202110342230
614043051200
72346232512
oct605207460
9233010250
10102043440
1152667824
122a210b00
13181aa945
14d7a3bb2
158e5a160
hex6150f30

102043440 has 120 divisors (see below), whose sum is σ = 344710080. Its totient is φ = 27052032.

The previous prime is 102043421. The next prime is 102043441. The reversal of 102043440 is 44340201.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102043441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171784 + ... + 172376.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2102043440 is an apocalyptic number.

102043440 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 102043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172355040).

102043440 is an abundant number, since it is smaller than the sum of its proper divisors (242666640).

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

102043440 is a wasteful number, since it uses less digits than its factorization.

102043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102043440 is about 10101.6553098985. The cubic root of 102043440 is about 467.2991921668.

Adding to 102043440 its reverse (44340201), we get a palindrome (146383641).

The spelling of 102043440 in words is "one hundred two million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 239 240 360 478 593 717 720 956 1186 1195 1434 1779 1912 2151 2372 2390 2868 2965 3558 3585 3824 4302 4744 4780 5337 5736 5930 7116 7170 8604 8895 9488 9560 10674 10755 11472 11860 14232 14340 17208 17790 19120 21348 21510 23720 26685 28464 28680 34416 35580 42696 43020 47440 53370 57360 71160 85392 86040 106740 141727 142320 172080 213480 283454 425181 426960 566908 708635 850362 1133816 1275543 1417270 1700724 2125905 2267632 2551086 2834540 3401448 4251810 5102172 5669080 6377715 6802896 8503620 10204344 11338160 12755430 17007240 20408688 25510860 34014480 51021720 102043440