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200001240 = 233254311289
BaseRepresentation
bin10111110101111…
…00011011011000
3111221100010010100
423322330123120
5402200014430
631502415400
74645660665
oct1372743330
9457303110
10200001240
11a299398a
1256b91560
1332587a3a
141c7c2a6c
1512859960
hexbebc6d8

200001240 has 96 divisors (see below), whose sum is σ = 652017600. Its totient is φ = 53168640.

The previous prime is 200001233. The next prime is 200001247. The reversal of 200001240 is 42100002.

It is an interprime number because it is at equal distance from previous prime (200001233) and next prime (200001247).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200001247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154516 + ... + 155804.

It is an arithmetic number, because the mean of its divisors is an integer number (6791850).

Almost surely, 2200001240 is an apocalyptic number.

200001240 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 200001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326008800).

200001240 is an abundant number, since it is smaller than the sum of its proper divisors (452016360).

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

200001240 is a wasteful number, since it uses less digits than its factorization.

200001240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 200001240 is about 14142.1794642834. The cubic root of 200001240 is about 584.8047562341.

Adding to 200001240 its reverse (42100002), we get a palindrome (242101242).

The spelling of 200001240 in words is "two hundred million, one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 431 862 1289 1293 1724 2155 2578 2586 3448 3867 3879 4310 5156 5172 6445 6465 7734 7758 8620 10312 10344 11601 12890 12930 15468 15516 17240 19335 19395 23202 25780 25860 30936 31032 38670 38790 46404 51560 51720 58005 77340 77580 92808 116010 154680 155160 232020 464040 555559 1111118 1666677 2222236 2777795 3333354 4444472 5000031 5555590 6666708 8333385 10000062 11111180 13333416 16666770 20000124 22222360 25000155 33333540 40000248 50000310 66667080 100000620 200001240