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203140020 = 223519732441
BaseRepresentation
bin11000001101110…
…10101110110100
3112011020120201110
430012322232310
5404000440040
632053555020
75014442646
oct1406725664
9464216643
10203140020
11a4738116
1258045a70
13331165c5
141cd9c896
1512c79980
hexc1babb4

203140020 has 96 divisors (see below), whose sum is σ = 607178880. Its totient is φ = 50595840.

The previous prime is 203139991. The next prime is 203140033. The reversal of 203140020 is 20041302.

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

It is a junction number, because it is equal to n+sod(n) for n = 203139978 and 203140005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82000 + ... + 84440.

It is an arithmetic number, because the mean of its divisors is an integer number (6324780).

Almost surely, 2203140020 is an apocalyptic number.

203140020 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 203140020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303589440).

203140020 is an abundant number, since it is smaller than the sum of its proper divisors (404038860).

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

203140020 is a wasteful number, since it uses less digits than its factorization.

203140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2543 counting only the distinct ones).

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

The square root of 203140020 is about 14252.7197404566. The cubic root of 203140020 is about 587.8481606180.

Adding to 203140020 its reverse (20041302), we get a palindrome (223181322).

The spelling of 203140020 in words is "two hundred three million, one hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 73 76 95 114 146 190 219 228 285 292 365 380 438 570 730 876 1095 1140 1387 1460 2190 2441 2774 4161 4380 4882 5548 6935 7323 8322 9764 12205 13870 14646 16644 20805 24410 27740 29292 36615 41610 46379 48820 73230 83220 92758 139137 146460 178193 185516 231895 278274 356386 463790 534579 556548 695685 712772 890965 927580 1069158 1391370 1781930 2138316 2672895 2782740 3385667 3563860 5345790 6771334 10157001 10691580 13542668 16928335 20314002 33856670 40628004 50785005 67713340 101570010 203140020