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201003240 = 233517372663
BaseRepresentation
bin10111111101100…
…01000011101000
3112000020000121110
423332301003220
5402424100430
631540110320
74660333164
oct1376610350
9460200543
10201003240
11a3508789
12573953a0
1332848b39
141c9a3ca4
15129a67b0
hexbfb10e8

201003240 has 128 divisors (see below), whose sum is σ = 655983360. Its totient is φ = 49065984.

The previous prime is 201003227. The next prime is 201003241. The reversal of 201003240 is 42300102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201003241) 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, 74149 + ... + 76811.

It is an arithmetic number, because the mean of its divisors is an integer number (5124870).

Almost surely, 2201003240 is an apocalyptic number.

201003240 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 201003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327991680).

201003240 is an abundant number, since it is smaller than the sum of its proper divisors (454980120).

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

201003240 is a wasteful number, since it uses less digits than its factorization.

201003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 201003240 is about 14177.5611442871. The cubic root of 201003240 is about 585.7797477045.

Adding to 201003240 its reverse (42300102), we get a palindrome (243303342).

The spelling of 201003240 in words is "two hundred one million, three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 37 40 51 60 68 74 85 102 111 120 136 148 170 185 204 222 255 296 340 370 408 444 510 555 629 680 740 888 1020 1110 1258 1480 1887 2040 2220 2516 2663 3145 3774 4440 5032 5326 6290 7548 7989 9435 10652 12580 13315 15096 15978 18870 21304 25160 26630 31956 37740 39945 45271 53260 63912 75480 79890 90542 98531 106520 135813 159780 181084 197062 226355 271626 295593 319560 362168 394124 452710 492655 543252 591186 679065 788248 905420 985310 1086504 1182372 1358130 1477965 1675027 1810840 1970620 2364744 2716260 2955930 3350054 3941240 5025081 5432520 5911860 6700108 8375135 10050162 11823720 13400216 16750270 20100324 25125405 33500540 40200648 50250810 67001080 100501620 201003240